Ratio and Proportion - SSAT Middle Level Quantitative
Card 0 of 776
What is the value of 
in the proportion?
What is the value of
Simplify 
by dividing both the numerator and denominator by 8 so that it simplifies to 
. Now it should be obvious that 
in order for both sides of the equation to be equal.
Simplify
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Phil earns 
for each hour he works. For every hour he works, he then gives 
to his sister Lola. How much money will Lola have if Phil works 
hours?
Phil earns
To Solve:
Multiply the 
Lola receives by the 
hours Phil worked:
Phil will give Lola 
if he works 
hours.
To Solve:
Multiply the
Phil will give Lola
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For every $3 I earn at work, I donate $1 to charity. How much money will I donate if I make $27.00/week.
For every $3 I earn at work, I donate $1 to charity. How much money will I donate if I make $27.00/week.
To find the amount of the donation, divide 27 by 3.
The answer is 9.
To find the amount of the donation, divide 27 by 3.
The answer is 9.
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Give the value of 
that makes this proportion statement correct:
Give the value of
Cross-multiply, then solve for 
:
Cross-multiply, then solve for
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Give the value of 
that makes this proportion statement correct:
Give the value of
Cross-multiply, then solve for 
:
Cross-multiply, then solve for
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Give the value of 
that makes this proportion statement correct:
Give the value of
Multiply both sides by 80 and solve for 
:
Multiply both sides by 80 and solve for
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Give the value of 
that makes this proportion statement correct:
Give the value of
Multiply both sides by 75 and solve for 
:
Multiply both sides by 75 and solve for
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Read this problem, but do not solve it.
4 out of every 5 dentists surveyed recommend Triton sugarless gum to patients who chew gum. If 2,100 dentists were surveyed, how many dentists recommended Triton?
If we let 
be the number of dentists who recommended Triton, what proportion statement could be used to solve this problem?
Read this problem, but do not solve it.
4 out of every 5 dentists surveyed recommend Triton sugarless gum to patients who chew gum. If 2,100 dentists were surveyed, how many dentists recommended Triton?
If we let
The ratios that are set equal to each other in a proportion statement must compare the same quantities in the same order.
In each ratio, we can put number of dentists who recommended Triton in the numerator, and number of dentists who were surveyed in the denominator.
One ratio is 4 dentists recommending Triton to 5 dentists surveyed (the general ratio): this is 
.
The other ratio is 
dentists recommending Triton to 2,100 dentists surveyed (the actual number); this is 
.
The proportion statement sets these equal:
which is the correct choice.
The ratios that are set equal to each other in a proportion statement must compare the same quantities in the same order.
In each ratio, we can put number of dentists who recommended Triton in the numerator, and number of dentists who were surveyed in the denominator.
One ratio is 4 dentists recommending Triton to 5 dentists surveyed (the general ratio): this is
The other ratio is
The proportion statement sets these equal:
which is the correct choice.
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Read this problem, but do not solve it: Two inches on a map represent twenty-five miles of actual distance. If Pierce Springs and Buchanan Falls are eight inches apart on the map, how far apart are they in actuality?
If we let 
be the actual distance between Pierce Springs and Buchanan Falls, which proportion could be used to solve this problem?
Read this problem, but do not solve it: Two inches on a map represent twenty-five miles of actual distance. If Pierce Springs and Buchanan Falls are eight inches apart on the map, how far apart are they in actuality?
If we let
The ratios that are set equal to each other in a proportion must compare the same quantities in the same order.
In each ratio, we can put number of map inches in the numerator and the number of actual miles in the denominator.
One ratio is two map inches to twenty-five actual miles (the map scale); this ratio is 
.
The other ratio is eight map inches to 
actual miles (the distance between Pierce Springs and Buchanan Falls); this ratio is 
.
The proportion statement that sets these equal to each other is 
, and is therefore the correct choice.
The ratios that are set equal to each other in a proportion must compare the same quantities in the same order.
In each ratio, we can put number of map inches in the numerator and the number of actual miles in the denominator.
One ratio is two map inches to twenty-five actual miles (the map scale); this ratio is
The other ratio is eight map inches to
The proportion statement that sets these equal to each other is
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A Spanish class has 
seniors and 
juniors. What proportion of the class is juniors?
A Spanish class has
A proportion is an amount that is part of a whole. There are 
students in the class in total. This question asks for the proportion that are juniors. There are 
juniors out of 
students, therefore the proportion is:
A proportion is an amount that is part of a whole. There are
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The distance between Youngston and Wynne is 240 miles in reality and three inches on a map. On the same map, Charlesville and Petersburg are one and three-fourths inches apart. How far apart are they in reality?
The distance between Youngston and Wynne is 240 miles in reality and three inches on a map. On the same map, Charlesville and Petersburg are one and three-fourths inches apart. How far apart are they in reality?
240 real miles is represented by 3 map inches, making this a ratio of 
real miles per map inch.
Therefore, one and three-fourths inches represents
miles, the distance between Charlesville and Petersburg.
240 real miles is represented by 3 map inches, making this a ratio of
Therefore, one and three-fourths inches represents
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What is the value of x in 
What is the value of x in
Since this is a proportion, you can cross-multiply. Once you do that, the left side is 
Your right side is 
. Set those equal to each other. Then, combine like terms. Subtract 
from both sides so that the equation is now 
. Divide both sides by 
Your answer is 
Since this is a proportion, you can cross-multiply. Once you do that, the left side is
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If Jason eats one-third of half a dozen donuts, how many donuts has he eaten?
If Jason eats one-third of half a dozen donuts, how many donuts has he eaten?
Half a dozen donuts is equal to 6 donuts, given that there are 12 items per dozen.
One-third of 6 is 2. Therefore, 2 donuts is the correct answer.
Half a dozen donuts is equal to 6 donuts, given that there are 12 items per dozen.
One-third of 6 is 2. Therefore, 2 donuts is the correct answer.
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If the ratio of boys to girls in a classroom is 
, and there are a total of of 
students in the classroom, how many boys are in the classroom?
If the ratio of boys to girls in a classroom is
If the ratio of boys to girls in a classroom is 
, that means that there are 
boys for every 
girls. Thus, when there are 
students in a classroom, the breakdown will be 
boys and 
girls. If there are 
students in a classroom, the breakdown will be 
boys and 
girls, which translates to a ratio of 
, or 
.
Thus, if there are 
students, 
will be boys.
If the ratio of boys to girls in a classroom is
Thus, if there are
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Robert, Jeff, and Paul are sharing a bag of chips that contains 20 chips. The three of them eat all of the chips. If Robert has eaten 8 chips, and Jeff eats twice as many chips as Paul, how many chips has Jeff eaten?
Robert, Jeff, and Paul are sharing a bag of chips that contains 20 chips. The three of them eat all of the chips. If Robert has eaten 8 chips, and Jeff eats twice as many chips as Paul, how many chips has Jeff eaten?
What do we know? We know that there are 20 chips in the bag, and we know that Robert has eaten 8 of them. Thus, we can calculate that there are 
chips remaining. Of this remaining, Jeff has eaten 2 parts and Paul has eaten 1 part: that's 3 parts, so let's calculate how many chips constitute each part:
So, each part is equal to 4 chips.
Jeff has eaten 2 parts, so 
gives us our answer.
What do we know? We know that there are 20 chips in the bag, and we know that Robert has eaten 8 of them. Thus, we can calculate that there are
So, each part is equal to 4 chips.
Jeff has eaten 2 parts, so
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Michelle is having a party, and she is experimenting with different mixtures of soda, trying to come up with something original. In particular, she likes a drink she made when she mixed together three ounces of cola and five ounces of grape soda. She has two and a half liters of cola and wants to use it all to make some of this drink; how much grape soda does she need to mix it with?
Michelle is having a party, and she is experimenting with different mixtures of soda, trying to come up with something original. In particular, she likes a drink she made when she mixed together three ounces of cola and five ounces of grape soda. She has two and a half liters of cola and wants to use it all to make some of this drink; how much grape soda does she need to mix it with?
The ratio of ounces of cola to ounces of grape soda in the initial mixture can be expressed as 
. It must be equal to that of liters of cola to liters of grape soda in the mixture Michelle will make for the party, which, since the number of liters of grape soda is unknown, is 
. Set these equal and solve for 
:
Set the cross-products equal to each other:
Michelle will use 
liters of grape soda in the final mixture.
The ratio of ounces of cola to ounces of grape soda in the initial mixture can be expressed as
Set the cross-products equal to each other:
Michelle will use
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Kenny is having a party, and he is experimenting with different mixtures of soda to come up with something original. He particularly likes a mixture of four ounces of lemon lime soda and three ounces of cream soda. He has two and a half liters of lemon lime soda and wants to use it all; how much cream soda does he need?
Kenny is having a party, and he is experimenting with different mixtures of soda to come up with something original. He particularly likes a mixture of four ounces of lemon lime soda and three ounces of cream soda. He has two and a half liters of lemon lime soda and wants to use it all; how much cream soda does he need?
The ratio of ounces of lemon lime soda to ounces of cream soda in the initial mixture can be expressed as 
. This ratio must remain the same for the mixture Ken will make for the party. Let be the number of liters of cream soda. Then the ratio is . Set the two ratios equal to each other and solve for :
Set the cross-products equal to each other:
Ken will use 
liters of cream soda in the final mixture.
The ratio of ounces of lemon lime soda to ounces of cream soda in the initial mixture can be expressed as
Set the cross-products equal to each other:
Ken will use
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How many 
are in 
How many
To solve this problem we can make proportions.
We know that 
, and we can use 
as our unknown.
Next, we want to cross multiply and divide to isolate the 
on one side.
The 
will cancel and we are left with 
To solve this problem we can make proportions.
We know that
Next, we want to cross multiply and divide to isolate the
The
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How many 
are in 
How many
To solve this problem we can make proportions.
We know that 
, and we can use 
as our unknown.
Next, we want to cross multiply and divide to isolate the 
on one side.
The 
will cancel and we are left with 
To solve this problem we can make proportions.
We know that
Next, we want to cross multiply and divide to isolate the
The
Compare your answer with the correct one above
How many 
are in 
How many
To solve this problem we can make proportions.
We know that 
, and we can use 
as our unknown.
Next, we want to cross multiply and divide to isolate the 
on one side.
The 
will cancel and we are left with 
To solve this problem we can make proportions.
We know that
Next, we want to cross multiply and divide to isolate the
The
Compare your answer with the correct one above