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

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

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Example Questions

Example Question #171 : Ratios & Proportional Relationships

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 #172 : Ratios & Proportional Relationships

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 #173 : Ratios & Proportional Relationships

 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 #174 : Ratios & Proportional Relationships

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 #175 : Ratios & Proportional Relationships

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 #176 : Ratios & Proportional Relationships

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 #177 : 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 #178 : 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 #179 : 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 #180 : 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. 

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