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

Study concepts, example questions & explanations for Common Core: 7th Grade Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #171 : Grade 7

6 decreased by what percent is  ?

Select the closest answer.

Possible Answers:

Correct answer:

Explanation:

The difference of 6 and  is 

.

Therefore, 6 is being decreased by ; to find out what percent this is of 6, we calculate:

, so

.

The answer that comes closest among the four choices is 20%.

Example Question #11 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the percentage of male students in a class if  are male out of  students?

Possible Answers:

Correct answer:

Explanation:

First you want to make a proportion so  of the class are male.  

You can reduce this fraction by  since both the numerator and denominator are divisible by it.  

This gives you  which as a decimal is .  

To make that into a percentage, you multiple by  and add a "%" symbol.  

So that gives you .

Example Question #601 : Arithmetic

 is 30% of  is 42% of .

 is what percent of  ?

Possible Answers:

Correct answer:

Explanation:

We can choose a specific value for ; the reasoning is independent of this value. 

Assume . Then

and 

To find out what percent  is of , calculate:

Example Question #11 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

If you get a 25% discount, what percentage of the original price will you have to pay?

Possible Answers:

Correct answer:

Explanation:

The original price will represent 100% of the item price since that represents the whole for the problem.  

If you get 25% off, you must take that away from the 100%.  

 

so you will have to pay 75% of the original price.

Example Question #231 : Percentage

What is the sale price of a product that costs  if the sale is  off the original price?

Possible Answers:

Correct answer:

Explanation:

First, find  of :

Then, subtract this value from the whole:

Example Question #611 : Arithmetic

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

Possible Answers:

Correct answer:

Explanation:

First, multiply:

Then subtract that amount from the original price:

Answer: The sale price is .

Example Question #11 : 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? 

Possible Answers:

Correct answer:

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 #171 : Ratios & Proportional Relationships

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

 

Possible Answers:

Correct answer:

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 #12 : 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? 

 

Possible Answers:

Correct answer:

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 #12 : 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? 

 

Possible Answers:

Correct answer:

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. 

Learning Tools by Varsity Tutors