# Common Core: 7th Grade Math : Ratios & Proportional Relationships

## Example Questions

### Example Question #31 : Ratios & Proportional Relationships

Chloe eats  of a bag of chips  in  of an hour. If she continues this rate, how much of the bag can she eat per hour?

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have amount of chips, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Chloe can eat

### Example Question #32 : Ratios & Proportional Relationships

Stuart used  of a bag of oranges to squeeze  of a gallon of juice. At this rate, how many bags of oranges does he use per gallon of juice?

Explanation:

The phrase "bags of oranges does he use per gallon" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have bags of oranges, , divided by gallons, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Stuart will use  bag of oranges to fill a gallon of juice.

### Example Question #33 : Ratios & Proportional Relationships

Andy used  of a bag of oranges to squeeze  of a gallon of juice. At this rate, how many bags of oranges does he use per gallon of juice?

Explanation:

The phrase "bags of oranges does he use per gallon" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have bags of oranges, , divided by gallons, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Andy will use  bags of oranges to fill a gallon of juice.

### Example Question #34 : Ratios & Proportional Relationships

Matt used  of a bag of oranges to squeeze  of a gallon of juice. At this rate, how many bags of oranges does he use per gallon of juice?

Explanation:

The phrase "bags of oranges does he use per gallon" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have bags of oranges, , divided by gallons, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Matt will use  bags of oranges to fill a gallon of juice.

### Example Question #35 : Ratios & Proportional Relationships

Dan used  of a bag of oranges to squeeze  of a gallon of juice. At this rate, how many bags of oranges does he use per gallon of juice?

Explanation:

The phrase "bags of oranges does he use per gallon" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have bags of oranges, , divided by gallons, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Dan will use  bags of oranges to fill a gallon of juice.

### Example Question #36 : Ratios & Proportional Relationships

Justin used  of a bag of oranges to squeeze  of a gallon of juice. At this rate, how many bags of oranges does he use per gallon of juice?

Explanation:

The phrase "bags of oranges does he use per gallon" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have bags of oranges, , divided by gallons, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Justin will use  bags of oranges to fill a gallon of juice.

### Example Question #37 : Ratios & Proportional Relationships

Kris can clean  of a house in  of an hour. If she continues this rate, how much of the house can Kris clean per hour?

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the house, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Kris can clean  of the house per hour.

### Example Question #38 : Ratios & Proportional Relationships

Maggie can clean  of a house in  of an hour. If she continues this rate, how much of the house can Maggie clean per hour?

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the house, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Maggie can clean  of the house per hour.

### Example Question #39 : Ratios & Proportional Relationships

Linda can clean  of a house in  of an hour. If she continues this rate, how much of the house can Linda clean per hour?