# ISEE Lower Level Math : How to find the whole from the part

## Example Questions

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### Example Question #21 : How To Find The Whole From The Part

If Anita bought a pair of boots for  that was on sale for  off, but was taxed  on the full price, what was the total cost of the boots (in dollars)?

Explanation:

If Anita bought a pair of boots for  that was on sale for  off, this means she would get  off. But if she was taxed at  on the full price, this would be equal to

Therefore, the total she would have to pay would be equal to , because .

### Example Question #22 : How To Find The Whole From The Part

Arnold tutors students in math. For every hour-long tutoring session he gives, he must do half an hour of prep work. He is paid  per session.

If Arnold makes  from his tutoring sessions, how many hours must he have spent tutoring and prepping for his sessions?

Explanation:

If Arnold made  tutoring, that means that he gave  tutoring sessions because  divided by  (his rate per tutoring session) is equal to

Given that Arnold must spend half an hour preparing for each session, the total number of hours it took him to earn  is equal to:

### Example Question #23 : How To Find The Whole From The Part

Joe has completed  math problems and now has one-third of his assignment left to complete. What is the total number of problems in his assignment?

Explanation:

If Joe has one third of his assignment to complete after finishing  problems, that means that  is equal to two-thirds of the entire set. Knowing this, we can write out the equation  and solve for  in order to find how many problems make up Joe's homework assignment.

We can solve this equation by cross-multiplying to get , which simplifies to .

To find , we can divide each side of the equation by . This gives us , so there are  problems in Joe's homework assignment.

### Example Question #24 : How To Find The Whole From The Part

There are 3 birds in a tree who are joined by their mates. Two-thirds of the birds then fly away. How many birds remain?

Explanation:

Given that there are 3 birds in the tree who are then joined by their mates, there are 6 total birds in the tree. If two-thirds of the birds fly away, 4 birds leave, and 2 birds are left in the nest

### Example Question #25 : How To Find The Whole From The Part

In Cody's class, there are  boys for every  girl. If there are  boys in the class, how many students are there in the class altogether?

Explanation:

To find out how many students are in the class, we first need to find the number of girls in the class. For every  boys, there will be  girl. There are  groups of  in a group of  (or, put another way, ), so the class has  groups of  boys. That means we also have  groups of  girl.  is , so altogether we have  boys and  girls. , so the correct answer is .

### Example Question #26 : How To Find The Whole From The Part

There are 8 slices in a pie, and each slices weights 1.5 ounces. What is the total weight of the pie in ounces?

Explanation:

If each slice of pie weighs 1.5 ounces and there are 8 slices total, then the total weight of the pie can be found by multiplying 8 by 1.5.

12 ounces is the weight of the entire pie.

### Example Question #27 : How To Find The Whole From The Part

If you have  cards for a game deck which is only  of a whole deck, how much do you need for the whole deck?

Explanation:

If your amount is  of the whole, then the whole is  times the amount you have.

cards.

### Example Question #28 : How To Find The Whole From The Part

If you walk into a theater an see 50 children and three times as many adults, how many guests are there?

Explanation:

To calculate how many guests are in the theater we need to create an equation that represents what type of guests are in the theater. In this particular case the theater is filled with children and adults thus our equation would become,