# SSAT Upper Level Math : Whole and Part

## Example Questions

### Example Question #171 : Number Concepts And Operations

Last year,  of students at a certain high school continued on to college. If  students from this high school went to college, how many total students did the high school have last year?

Explanation:

Let  be the total number of students enrolled last year at the high school the question describes. With the information given in the question, we can write the following equation and solve for .

of  is , so the high school the question describes had  students last year.

### Example Question #12 : How To Find The Whole From The Part

students in a class are vegetarian. If  of this class is vegetarian, how many total students are in the class?

Explanation:

Let  be the total number of students in the class. With the information given in the question, we can write the following equation and solve for .

of  is , so there are  students in the class the question describes.

### Example Question #1 : How To Find The Part From The Whole

What is  of ?

Explanation:

Multiply  by  to find the answer.

.

### Example Question #1 : How To Find The Part From The Whole

Susie won  from the lottery. If she has to pay  of the winnings to taxes and gives her parents  of the remaining amount, how much does she have left over?

Explanation:

First, find out how much she has left after she pays her taxes.

Now, take away  of the after-tax amount to find out how much she has left.

### Example Question #3 : How To Find The Part From The Whole

Kerry spends  of his monthly salary on rent,  on food, and  on movies. If he spent  on rent, how much did he spend on food?

Explanation:

First, find out how much Kerry makes per month. Let  be his monthly salary. We know that he spends  of his monthly salary on rent, and that he spends  on rent. Knowing this, we can set up an equation and solve for , how much Kerry makes per month.

Now, we can find out how much he spends on food.

### Example Question #4 : How To Find The Part From The Whole

A class of  students was polled. If  of them claimed that they enjoy eating sushi, how many students enjoy eating sushi?

Explanation:

Multiply the total number of students by the fraction to find out how many of them enjoy eating sushi.

students in the class enjoy eating sushi.

### Example Question #5 : How To Find The Part From The Whole

A car is on sale for  off. If the original price is , how much does the car cost when it is on sale?

Explanation:

Subtract the discount from the original price of the car.

The discounted car costs .

### Example Question #6 : How To Find The Part From The Whole

Jeremy bought  worth of toothpaste. At the checkout, he found that he had a coupon that would take  off the cost of the toothpaste. How much will Jeremy pay for the toothpaste if he uses the coupon?

Explanation:

Subtract the amount the coupon would take off from the total amount the toothpaste would cost.

If Jeremy uses the coupon, the toothpaste will cost .

### Example Question #7 : How To Find The Part From The Whole

The tax on the sale of a house worth  was . What was the tax rate?

Explanation:

To find the tax rate, divide the tax amount by the total worth of the house.

Now, convert this decimal into a percentage.

The tax rate on this house sale is .

### Example Question #8 : How To Find The Part From The Whole

If Hannah needs to pay a  tax on her yearly income of , how much does she need to pay for the tax?