### All Algebra 1 Resources

## Example Questions

### Example Question #21 : Whole And Part

What number is 25% of 80?

**Possible Answers:**

24

25

75

20

40

**Correct answer:**

20

To solve this problem, we set up a proportion. We are looking for the number which is 25% of 80, thus we set up 25/100 = x/80. We set up this proportion so that the "wholes" are on the same side of the fraction. Then we simplify the left side (since 25/100 = 1/4) to make our arithmetic a bit easier. We now have 1/4 = x/80. Cross multiplying, we get 80 = 4x. Dividing both sides by 4, we get x = 20.

25% = 25/100

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

14% of 50 is _____?

**Possible Answers:**

**Correct answer:**

Divide numerator and denominator by 2 and you get , so 7 is 14% of 50.

### Example Question #22 : Whole And Part

Julie made 500 handbags last year. She gave 15 away and sold 185. What percentage of the 500 handbags crafted does she still have in her inventory?

**Possible Answers:**

**Correct answer:**

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

What is 35% of 200?

**Possible Answers:**

**Correct answer:**

To find 35% of 200, we just need to multiply

This gives us our answer, 70. Alternatively, we could realize instinctively that 35% of 100 is 35, and then double it to get the same answer.

### Example Question #4 : How To Find The Part From The Whole With Percentage

What is 64% of 86?

**Possible Answers:**

**Correct answer:**

First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86

So 55 is 64% of 86.

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

Wendy and Bob are cleaning their house at the same speed. Working together, they can clean the house in 8 hours. What percentage of the house can Wendy clean in 4 hours if she is cleaning by herself?

**Possible Answers:**

**Correct answer:**

It takes Bob and Wendy 8 hours to clean the entire house, for a total of 16 man-hours. This means that one hour of cleaning by one person will clean of the house, or 6.25%. Thus, Wendy can clean 25% of the house by herself in 4 hours.

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

What is of , rounded to the nearest tenth?

**Possible Answers:**

**Correct answer:**

Convert 34% to a decimal: 0.34

Multiply 0.34 by 492: 167.28

Round to the nearest tenth: 167.3

### Example Question #31 : Whole And Part

Choose the correct answer.

What is of .

**Possible Answers:**

**Correct answer:**

To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal, to . Then multiply the decimal against the whole number, .

### Example Question #31 : Whole And Part

Select the correct answer.

What is of .

**Possible Answers:**

**Correct answer:**

To find the part of the whole, first convert the percentage to a decimal, to , then multiply the decimal against the whole number given, , resulting in . Alternatively, we know that is equal to , so we could divide the whole number, , into four equal parts, which would be . Since we need (three quarters), we multiply , resulting in .

### Example Question #3 : How To Find The Part From The Whole With Percentage

If of the student body is female, what is the percentage of males?

**Possible Answers:**

**Correct answer:**

If of the student body is female, this is equivalent to . Since is the whole, . Thus is not female.

Alternatively, if is not male, then the rest must be male, so . Then we can convert that decimal to a percentage, .

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