### All ACT Math Resources

## Example Questions

### Example Question #1 : Percentage

Luke went to the grocery store. It took him 15 minutes to drive to the store from his house, 30 minutes to shop, 5 minutes to put groceries in his car, and 20 minutes to drive home due to traffic.

What percentage of the trip did Luke spend inside his car?

**Possible Answers:**

75%

50%

45%

35%

15%

**Correct answer:**

50%

You take 15 + 20 = 35 minutes as total time spent in the car.

Then, you take 15 + 20 + 5 + 30 = 70 minutes as total trip time.

We take (35/70) x 100% = 50%

### Example Question #1 : Percentage

There are 300 sandwiches at a company-wide picnic. If half of the sandwiches are tuna, and the provider mistakenly uses expired tuna in three-fifths of those sandwiches, what percentage of total sandwiches still remain edible?

**Possible Answers:**

**Correct answer:**

This multi-part question makes use of both fractions and percentages, as well as some tricky language if you are not paying close attention.

First off, determine what three-fifths of the 150 tuna sandwiches is:

Now, refer back to the question, which asks how many **TOTAL** sandwiches (tuna and non-tuna) still remain edible. This is simple arithmetic.

Finally, find what percentage this equals:

### Example Question #9 : Percentage

Express the fraction as a percentage.

**Possible Answers:**

**Correct answer:**

Converting a fraction to a percentage can be done in two ways. The first way involves recalling that a percent is just a fraction of 100 (per cent). Therefore, the percent equivalent to is the numerator of the equivalent fraction whose denominator is 100. In order to convert to a fraction over 100, I need to multiply the numerator and denominator each by 4.

Therefore, our answer is 28%.

The other approach is to convert the fraction to a decimal first by dividing 7 by 25.

To convert a decimal to a percent, just shift the decimal point two places to the right.

With this method, our answer is again 28%.

### Example Question #1 : Percentage

Convert to a percentage:

**Possible Answers:**

**Correct answer:**

Despite the presence of a variable, the rule remains the same: To convert a fraction to a percentage, multiply the numerator by 100 and solve the fraction.

### Example Question #11 : Percentage

A politician promises to spend a minimum of of his budget on improving roads. What is the minimum percent of the budget that must be spent on roads to keep this promise?

**Possible Answers:**

**Correct answer:**

To find a percentage from a fraction, multiply the numerator by , then solve the fraction.

Thus, the politician must spend at least of the budget on roads.

### Example Question #12 : Percentage

Convert to a percentage:

Round to the nearest integer.

**Possible Answers:**

**Correct answer:**

We can solve this problem either by adding the two fractions and then converting to a percentage, or by converting each fraction to a percentage before adding them. We'll use the first method in this case:

Now, just as before, multiply our numerator by and solve the fraction: