### All ACT Math Resources

## Example Questions

### Example Question #11 : How To Find Percentage

A pound man has a body composition made up of pounds of fat, pounds of muscle, and the rest of other organs, fluid, etc. What is the percentage of his muscle composition (in comparison with his toal weight) if he increases his weight in body fat by ? Round to the nearest hundredth of a percent.

**Possible Answers:**

**Correct answer:**

As of right now, the man has pounds of body fat. If this increases by , we he will gain or more pounds of body fat. This means that he will have a total of pounds of body fat. Also, it means that his total weight will be pounds. Therefore, his muscle, as a percent of his total weight will be:

or

### Example Question #21 : How To Find Percentage

What is of ?

If necessary, round to the nearest percentage.

**Possible Answers:**

**Correct answer:**

To calculate the percentage of a percent, convert both percentages to decimals and multiply:

### Example Question #81 : Percentage

What percentage of is ? Round your answer to the nearest whole percentage.

**Possible Answers:**

**Correct answer:**

To find what percentage is of simply divide by . Thus we see that

### Example Question #81 : Percentage

If Abraham’s collection in July is 40% of his collection at the end of December, how many stamps must have he obtained in December?

**Possible Answers:**

**Correct answer:**

Abraham’s collection in July is 97 stamps. If that is 40% of his collection at the end of the year, his album must have stamps.

Thus, he would have to get stamps to have that happen.

### Example Question #1 : How To Find The Amount Of Sales Tax

Beth purchased $21.25 worth of groceries. The sales tax rate is 7.5%. What was her total bill?

**Possible Answers:**

$21.93

$22.11

$23.41

$23.79

$22.84

**Correct answer:**

$22.84

The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.

### Example Question #1 : How To Find The Amount Of Sales Tax

Billy's bill at a restaurant is $50.00. If sales tax is 8%, how much tax does he pay?

**Possible Answers:**

$4.00

$50.00

$8.00

$54.00

$58.00

**Correct answer:**

$4.00

You evaluate $50.00 x (0.08) = $4.00

### Example Question #1 : How To Find The Amount Of Sales Tax

The last week of August is tax-free week. If the standard tax rate is 8.25%, how much money would a shopper save buying a $50 dress and a $30 pair of shoes during tax free week?

**Possible Answers:**

$7.25

$8.00

$2.47

$6.60

$4.13

**Correct answer:**

$6.60

Tax = Total Cost * 0.0825 = (50 + 30) * 0.0825 = (80) x 0.0825 = 6.6 = $6.60

### Example Question #1 : How To Find The Amount Of Sales Tax

If a stick of deodorant costs $4.29 with a sales tax of 8.75%. What will the total cost of the item be?

(round to the nearest cent)

**Possible Answers:**

$4.37

$4.66

$6.47

$4.76

$4.67

**Correct answer:**

$4.67

To solve for the tax charged multiply 0.0875 by the sales price of $4.29.

This is $0.375375. Add this to the original amount of $4.29.

The answer is 4.665375. Rounded to the nearest cent is $4.67

### Example Question #1 : Sales Tax

On a grocery shopping trip you spent $15 on meat, $5 on cheese, and $25 on produce. If the total bill was $48.15, what is the rate of sales tax on the food?

**Possible Answers:**

7%

0.7%

6.5%

0.75%

7.5%

**Correct answer:**

7%

Tax = Total Bill - Cost of Food = 48.15 – (15 + 5 + 25) = $3.15

Percentage of Tax = Tax / Cost of Food = 3.15/ (15 + 5 + 25) = 3.15 / 45 = 0.07 = 7%

### Example Question #1 : How To Find The Amount Of Sales Tax

Regular sales tax is . Saturday is a tax free day that applies to clothes. You want to buy a pair of jeans that are , a pair of shoes that are , and a new shirt that costs . How much money will you save if you want to go shopping on Saturday?

**Possible Answers:**

**Correct answer:**

Total cost = $120 + $45 + $75 = $240

Cost of Sales Tax = 8.25% ($240) = 0.0825 ($240) = $19.80