Word Problems - SAT Math
Card 0 of 188
Erin is making thirty shirts for her upcoming family reunion. At the reunion she is selling each shirt for \$18 apiece. If each shirt cost her \$10 apiece to make, how much profit does she make if she only sells 25 shirts at the reunion?
Erin is making thirty shirts for her upcoming family reunion. At the reunion she is selling each shirt for \$18 apiece. If each shirt cost her \$10 apiece to make, how much profit does she make if she only sells 25 shirts at the reunion?
This problem involves two seperate multiplication problems. Erin will make \$450 at the reunion but supplies cost her \$300 to make the shirts. So her profit is \$150.
This problem involves two seperate multiplication problems. Erin will make \$450 at the reunion but supplies cost her \$300 to make the shirts. So her profit is \$150.
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Write as an equation:
"Ten added to the product of a number and three is equal to twice the number."
Write as an equation:
"Ten added to the product of a number and three is equal to twice the number."
Let 
represent the unknown quantity.
The first expression:
"The product of a number and three" is three times this number, or
"Ten added to the product" is
The second expression:
"Twice the number" is two times the number, or
.
The desired equation is therefore
.
Let
The first expression:
"The product of a number and three" is three times this number, or
"Ten added to the product" is
The second expression:
"Twice the number" is two times the number, or
The desired equation is therefore
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Write as an equation:
Five-sevenths of the difference of a number and nine is equal to forty.
Write as an equation:
Five-sevenths of the difference of a number and nine is equal to forty.
"The difference of a number and nine" is the result of a subtraction of the two, so we write this as
"Five-sevenths of" this difference is the product of 
and this, or
This is equal to forty, so write the equation as
"The difference of a number and nine" is the result of a subtraction of the two, so we write this as
"Five-sevenths of" this difference is the product of
This is equal to forty, so write the equation as
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Write as an equation:
Twice the sum of a number and ten is equal to the difference of the number and one half.
Write as an equation:
Twice the sum of a number and ten is equal to the difference of the number and one half.
Let 
represent the unknown number.
"The sum of a number and ten" is the expression 
. "Twice" this sum is two times this expression, or
.
"The difference of the number and one half" is a subtraction of the two, or
Set these equal, and the desired equation is
Let
"The sum of a number and ten" is the expression
"The difference of the number and one half" is a subtraction of the two, or
Set these equal, and the desired equation is
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If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the 
to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by 
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
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If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
Compare your answer with the correct one above
If a rectangle possesses a width of 
and has a perimeter of 
, then what is the length?
If a rectangle possesses a width of
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the to one side of the equation. In order to do this, we will first subtract 
from both sides of the equation.
Next, we can divide each side by
The length of the rectangle is 
In order to solve this problem, we need to recall the formula for perimeter of a rectangle:
We can substitute in our known values and solve for our unknown variable (i.e. length):
We want to isolate the
Next, we can divide each side by
The length of the rectangle is
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Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is 
years old?
Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is
Since Gary will be 37 in five years, he is 
years old now. He is twice as old as Cathy, so she is 
years old, and in five years, she will be 
years old.
Since Gary will be 37 in five years, he is
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Mark is three times as old as his son Brian. In ten years, Mark will be 
years old. In how many years will Mark be twice as old as Brian?
Mark is three times as old as his son Brian. In ten years, Mark will be
In ten years, Mark will be 
years old, so Mark is 
years old now, and Brian is one-third of this, or 
years old.
Let 
be the number of years in which Mark will be twice Brian's age. Then Brian will be 
, and Mark will be 
. Since Mark will be twice Brian's age, we can set up and solve the equation:
Mark will be twice Brian's age in 
years.
In ten years, Mark will be
Let
Mark will be twice Brian's age in
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Jackie plans to buy one video game and a number of hardcover books. The video game costs \$40 and each book costs \$30. If she must spend at least \$120 in order to get free shipping, what is the minimum number of books she must buy in order to get free shipping?
Jackie plans to buy one video game and a number of hardcover books. The video game costs \$40 and each book costs \$30. If she must spend at least \$120 in order to get free shipping, what is the minimum number of books she must buy in order to get free shipping?
Since you know that Jackie will purchase exactly one video game for \$40, you can set up your equation (or inequality) here as:
Where 
represents the number of books she buys. Since we're looking for the minimum number of books she needs to buy in order to be greater than or equal to \$120, we use the greater-than-or-equal-to inequality.
Now you can subtract 40 from both sides:
And when you divide both sides by 30 you'll see that you have a number between 2 and 3. Note that you do not have to do the full decimal calculation, because you cannot buy part of a book! So since she can't buy 2.67 books, the minimum number she can purchase is 3.
Since you know that Jackie will purchase exactly one video game for \$40, you can set up your equation (or inequality) here as:
Where 
Now you can subtract 40 from both sides:
And when you divide both sides by 30 you'll see that you have a number between 2 and 3. Note that you do not have to do the full decimal calculation, because you cannot buy part of a book! So since she can't buy 2.67 books, the minimum number she can purchase is 3.
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On the first day of the week, a bakery had an inventory of 450 loaves of bread. It bakes 210 loaves of bread and sells 240 loaves of bread each day that it is open, and then closes for a baking day when it runs out of loaves. How many days can it be open before it must close for a baking day?
On the first day of the week, a bakery had an inventory of 450 loaves of bread. It bakes 210 loaves of bread and sells 240 loaves of bread each day that it is open, and then closes for a baking day when it runs out of loaves. How many days can it be open before it must close for a baking day?
If the bakery bakes 210 loaves of bread and sells 240 loaves of bread, then that means that, total, it loses 30 loaves of bread per day. Since you know that it starts with 450 loaves of bread, you can use this information to write a linear equation relating the number of loaves of bread left with how many days it has been since the bakery has closed for a baking day. It should look like:
B = 450 - 30d
Where B represents the number of loaves left and d represents the number of days since the bakery’s last baking day.
In order for the bakery to need to close for a baking day, the number of loaves left must equal 0. If you substitute in B = 0, you get: 0 = 450−30d.
Now you can solve: add 30d to both sides to get:
30d = 450
And then divide both sides by 30 to get d = 15
If the bakery bakes 210 loaves of bread and sells 240 loaves of bread, then that means that, total, it loses 30 loaves of bread per day. Since you know that it starts with 450 loaves of bread, you can use this information to write a linear equation relating the number of loaves of bread left with how many days it has been since the bakery has closed for a baking day. It should look like:
B = 450 - 30d
Where B represents the number of loaves left and d represents the number of days since the bakery’s last baking day.
In order for the bakery to need to close for a baking day, the number of loaves left must equal 0. If you substitute in B = 0, you get: 0 = 450−30d.
Now you can solve: add 30d to both sides to get:
30d = 450
And then divide both sides by 30 to get d = 15
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