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

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #22 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #23 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #24 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #21 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #26 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #27 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

### Example Question #28 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

A sweater was originally , but the department store is running a  off sale. What is the sale price of the sweater?

Explanation:

In order to solve this problem, we need to calculate  of . The key word "of" is indicative of multiplication; however, we need to start by converting the percentage into a decimal because you cannot multiply a number by a percent.

We can convert a percent into a decimal by moving the decimal two places to the left:

Next, we can multiply:

Remember, we are taking  off the original price, which means we need to subtract.

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