### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #51 : Ratio And Proportion

On a typical day, twenty percent of the pies that a pie store sells are blueberry pies. If the store sells forty pies on just such a typical day, how many blueberry pies were likely sold?

**Possible Answers:**

**Correct answer:**

If store sells pies, and typically of the pies that are sold are blueberry, that means that of the pies sold were probably blueberry.

Given that of is , it follows that of is .

Therefore, is the correct answer.

### Example Question #52 : Ratio And Proportion

The ratio of rabbits to guinea pigs to hamsters in a pet store is 3:2:4. If there are 12 rabbits in the pet store, how many hamsters are there?

**Possible Answers:**

**Correct answer:**

Given that the ratio of rabbits to guinea pigs to hamsters in a pet store is , each number should be 4 times greater if there are 12 rabbits. This is because 3 times 4 is 12.

Therefore, we can transform the of rabbits to guinea pigs to hamsters into .

Therefore, there are 16 hamsters.

### Example Question #53 : Ratio And Proportion

Reduce the following proportion to its simplest form:

**Possible Answers:**

**Correct answer:**

To simplify, you find a common factor for both the numerator and denominator and divide them both by that value.

Both and have a common factor of .

This gives us,

.

### Example Question #54 : Ratio And Proportion

Rachel and Michael earn the same amount of money per hour. Rachel earns $64.00 for eight hours of work. How long would it take Michael to earn $96.00?

**Possible Answers:**

**Correct answer:**

In order to solve this problem, you would set up a direct proportion:

To make the process even simpler, you could first reduce the first fraction in this direct proportion. The fraction was reduced to simplest form by dividing both the numerator and the denominator by 8, the greatest common factor or the GCF.

Divide both sides by the coefficient of x, which is 8:

### Example Question #55 : Ratio And Proportion

On a map, one inch is equal to miles. How many inches will be on the map for a a distance of miles?

**Possible Answers:**

**Correct answer:**

The proportion for the problem will be,

.

You then cross multiple to get

.

To find , you divide both sides by to get

Therefore

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