### All Common Core: 7th Grade Math Resources

## Example Questions

### Example Question #171 : Ratios & Proportional Relationships

6 decreased by what percent is ?

Select the closest answer.

**Possible Answers:**

**Correct answer:**

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:**

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:**

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:**

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:**

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:**

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:**

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:**

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:**

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

**Possible Answers:**

**Correct answer:**

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.