# SSAT Upper Level Math : How to find the whole from the part

## Example Questions

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### Example Question #104 : Rational Numbers

After a  discount, a car costs . How much did the car cost before the discount?

Explanation:

Let  be the cost of the car before the discount. Since we know that the car at a discount costs , we can write the following equation:

Now, solve for  to find the cost of the car before the discount.

The car originally cost  before the  discount was applied.

### Example Question #105 : Rational Numbers

There are  yellow marbles in a bag. If  of the marbles in the bag are yellow, how many total marbles are in the bag?

Explanation:

Let  be the total number of marbles in the bag. Since we know that  of the marbles are yellow, we can set up the following equation and solve for :

There are  total marbles in the bag.

### Example Question #106 : Rational Numbers

Byron eats  calories for lunch. If he eats  of his calories at lunch, what is the total number of calories he eats for the day?

Explanation:

Let  be the total number of calories Byron eats in a day. With the information given in the question, we can write the following equation and solve for .

Byron eats  calories for the day described in the question.

### Example Question #107 : Rational Numbers

Max bought a t-shirt that was on sale at the store for . If he paid  for the shirt, how much would the shirt have costed before the sale?

Explanation:

Let  be the cost of the t-shirt before it went on sale. With the information given in the question, we can write the following equation and solve for .

This can be rewritten as:

The shirt cost  before the sale.

### Example Question #108 : Rational Numbers

Roselyn spent  when she bought a vacuum that was  off. How much did the vacuum cost before the sale?

Explanation:

Let  be the cost of the vacuum before the sale. With the information given in the question, we can write the following equation and solve for .

This can be rewritten as:

The vacuum cost  before it went on sale.

### Example Question #109 : Rational Numbers

When Teresa saw that plane tickets to Hong Kong were  off, she immediately bought a discounted ticket for . How much would the ticket have cost if tickets to Hong Kong were not on sale?

Explanation:

Let  be the price of the non-discounted ticket. With the information given in the question, we can write the following equation and solve for .

The plane ticket that Teresa bought would have cost  if it were not on sale.

### Example Question #110 : Rational Numbers

There are  red marbles in a bag. If  of the marbles in the bag are red marbles, how many total marbles are in the bag?

Explanation:

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

There are  total marbles in the bag.

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

If  of a certain number is , what is that number?

Explanation:

Let  be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

of  is , so  is the correct answer.

### Example Question #172 : Number Concepts And Operations

If  of a certain number is , what is that number?

Explanation:

Let  be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

of  is , so  is the correct answer.

### Example Question #173 : Number Concepts And Operations

If  of a certain number is , what is that number?

Explanation:

Let  be the number we are looking for. With the information given in the question, we can write the following equation and solve for .

of  is , so  is the correct answer.

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