### All ACT Math Resources

## Example Questions

### Example Question #121 : Arithmetic

Sally sees a jacket on sale that's . The store is having a storewide discount. What is the price of the jacket after the discount is applied?

**Possible Answers:**

**Correct answer:**

The original price of the jacket is $53 and there's a discount applied that's close to being 50% off. Therefore we know the right answer should be a little greater than $26.50. This allows for the elimination of $24, $23.85 and $8.63 as options for viable answers.

This problem requires transitioning percentages into decimals as currency. In this case, it's helpful to keep in mind .

Using the information given, this skeleton would look like .

The intention of this is to see what 45% *of** *$53.00 ** is. **The

**is what is being found, so it can be labeled as x. Using cross multiplication, x is calculated to be $23.85. X is what 45% of $53 is. Now the final calculation can be calculated through subtracting the x value from the jacket's original price .**

*is*### Example Question #2 : How To Find Percentage Equivalent To A Decimal

A high school senior takes a survey of the entire senior class for a project. She's interested in seeing the distribution of what her peers decide to pursue in college. She came up with the following data:

The rest of the students stated an interest in Linguistics. How many students in total were surveyed?

**Possible Answers:**

**Correct answer:**

In this question, information about 5 groups of students is included but isn't expressed in the table nor is it expressed in terms of a percentage.

The sample the student took, despite how many students were interviewed, will have all the percents add up to 100% - as in the case with any study with percent breakdowns. The number of prospective Linguistic students is given (37), and it's know they're a part of the 100% the sample provides. To determine their percent, all the other intended majors percents must be subtracted from the total (100%).

Once this information has been uncovered, this problem becomes a matter of being able to calculate what 37 ** is **6%

*This can be uncovered through the use of . In this question, the percent and "is" is known. The goal is to find what the "of" is. The of will provide the total number of students surveyed. Denoting the "of" as x, substituting all information in, and undergoing cross multiplication will provide the final answer.*

**of**.

Given that fractions of a person cannot be surveyed, the final answer must be rounded to the nearest whole number.

### Example Question #31 : Percentage

Which of the following is equivalent to ?

**Possible Answers:**

**Correct answer:**

To convert a decimal into a percent is fairly straightforward. Begin with your original decimal value:

Then, move your decimal point to the right by two:

Strip off any leading zeroes, add a percent sign, and you are good to go!

### Example Question #4 : How To Find Percentage Equivalent To A Decimal

At high elevations, the ability of red blood cells to hold oxygen is decreased. At a particular elevation, the red blood cells' ability to hold oxygen is multiplied by . What percentage of the normal amount does this represent?

**Possible Answers:**

**Correct answer:**

To find a percentage from a decimal, multiply the decimal by .

### Example Question #5 : How To Find Percentage Equivalent To A Decimal

A chemist mixes a solution out of a bottle which states on the label with some pure water. What is the strength of the solution in the bottle, as a percentage?

**Possible Answers:**

**Correct answer:**

To find a percentage from a decimal, mutiply the decimal by .

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