Finding Part, Percent, and Whole

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Basic Math › Finding Part, Percent, and Whole

Questions 1 - 10
1

What is of ?

Explanation

Before we answer the question, we should convert into a decimal: = .

We can then substitute this value into the original question:

2

Lucy is a real estate agent who is paid a commission on the value of each house she sells every month. She is also paid a base monthly rate of as part of her salary. If represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?

Explanation

To start, we need to convert the percent into a decimal.

Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression .

Lucy is also paid \$1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.

Putting the pieces of the salary together, we get the following equation:

3

What is the perimeter of a rectangle with an area of , a length of , and a width of ?

Explanation

Based on the information given in the question, we know that . Since we also know the values of length and width , however, we don't need to use the area equation to solve for and , since the perimeter .

Substituting in the known values of and :

4

Lucy is a real estate agent who is paid a commission on the value of each house she sells every month. She is also paid a base monthly rate of as part of her salary. If represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?

Explanation

To start, we need to convert the percent into a decimal.

Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression .

Lucy is also paid \$1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.

Putting the pieces of the salary together, we get the following equation:

5

What is the perimeter of a rectangle with an area of , a length of , and a width of ?

Explanation

Based on the information given in the question, we know that . Since we also know the values of length and width , however, we don't need to use the area equation to solve for and , since the perimeter .

Substituting in the known values of and :

6

What is of ?

Explanation

Before we answer the question, we should convert into a decimal: = .

We can then substitute this value into the original question:

7

Jimmy is a salesman who is paid a base salary of per month. He also receives a commission on all his sales. If Jimmy sold worth of goods one month, how much was he paid for that month?

Explanation

We can write the following equation to represet Jimmy's salary:

Because we know Jimmy sold \$1920 this month, we can plug it into the above equation.

Now, convert the percent into a decimal to find how much Jimmy made this month.

8

of an unknown number is . What is the unknown number?

Explanation

Before we can write an equation, we need to turn the percent into a decimal.

Now, we can write the following equation:

Divide both sides by .

9

If of an unknown number is , what is the unknown number?

Explanation

First, we need to convert into a decimal.

Then, we can write the following equation using the information given in the question:

,

where is our unknown number.

Now, solve for

10

of an unknown number is . What is the unknown number?

Explanation

Before we can write an equation, we need to turn the percent into a decimal.

Now, we can write the following equation:

Divide both sides by .

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