# Common Core: 7th Grade Math : Use Proportional Relationships to Solve Multistep Ratio and Percent Problems: CCSS.Math.Content.7.RP.A.3

## Example Questions

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### Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a  product sold for  off cost?

Explanation:

First, find  of :

Then, subtract this value from the whole:

### Example Question #13 : Percentages

How much would a  product sold for  off cost?

Explanation:

First, find  of :

Then, subtract this value from the whole:

### Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

200 percent of what number is equal to the difference between 75 and 25?

Explanation:

We must first start by finding the difference between and :

Next find the decimal equivalent of %, which is done by dividing by :

Now we divide by .

Our final answer is , because when it is multiplied by %, it equals the difference between and .

### Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a game if it is % off the original price of ?

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

### Example Question #19 : Percentages

What is the sale price of a carton of milk if it is % off the original price of ?

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

### Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a pair of shoes if it is % off the original price of ?

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

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

240 is 30% of what number?

Explanation:

Set up the proportion statement and solve for :

Cross-multiply:

### Example Question #2 : How To Find The Whole From The Part With Percentage

420 is 150% of what number?

Explanation:

Set up the proportion statement and solve for  by cross-multiplying:

### Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What number increased by 25% is equal to 7?

Explanation:

To increase a number by 25% is to take

of the number, or, equivalently, multiply it by

.

Therefore, we divide 7 by :

, so

.

### Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What number decreased by 25% is equal to 7?

Explanation:

To decrease a number by 25% is to take

of the number, or, equivalently, multiply it by

.

Therefore, we divide 7 by :

, so

.

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