ACT Math - Percentage | Practice Hub

A bowl contains marbles that are either red or green. The probability of selecting a red marble at random from the bowl is

Which of the following expressions represents the total number of red marbles in the bowl?

$\frac{x}{25}$

$\frac{25x}{10}$

$\frac{2.5x}{10}$

Explanation

It’s best to start with a fraction that is a part over 100. For this problem, we are looking for a fraction that shows $\frac{25}{100}$ . If you go through the choices available, $\frac{2.5}{10}=\frac{25}{100}$ . Therefore, if you plug in any value for “X” in this fraction, you will know the total number of marbles in the bowl. Here is an example:

If there are 4 marbles in the bowl, you’d expect 1 to be red. If we use this equation, we get

$\frac{(2.5)(4)}{10}=\frac{10}{10}=1$

A bowl contains marbles that are either red or green. The probability of selecting a red marble at random from the bowl is

Which of the following expressions represents the total number of red marbles in the bowl?

$\frac{x}{25}$

$\frac{25x}{10}$

$\frac{2.5x}{10}$

Explanation

If there are 4 marbles in the bowl, you’d expect 1 to be red. If we use this equation, we get

$\frac{(2.5)(4)}{10}=\frac{10}{10}=1$

If $\dpi{100} \small 80%$ of a number is $\dpi{100} \small 240$ , what is $\dpi{100} \small 125%$ of the number?

$\dpi{100} \small 375$

$\dpi{100} \small 300$

$\dpi{100} \small 325$

$\dpi{100} \small 200$

$\dpi{100} \small 250$

Explanation

Since $\dpi{100} \small 80%$ of the number is $\dpi{100} \small 240$ , the number is $\dpi{100} \small \frac{240}{.80}$ which equals $\dpi{100} \small 300$ . Then calculate $\dpi{100} \small 125%$ of $\dpi{100} \small 300$ :

$\dpi{100} \small 1.25\times 300=375$ .

Danielle has two jobs. Her retail job pays her $8.50 per hour and she works 20 hours per week in that job. Her office job pays her $12 per hour and she works 15 hours per week in the office. If she starts working an extra 10 hours a week at her office job, what is her percentage increase in total weekly pay? Round to one decimal point.

34.3%

33.4%

22.9%

25.7%

40.0%

Explanation

Pay = Hours worked x Rate per hour

Retail job = 20 x $8.50 = $170.00

Office job = 15 x $12.00 = $180.00

Current weekly pay = $170.00 + $180.00 = $350.00

Additional Office job hours = 10 x $12.00 = $120.00

Percentage Increase = $120 / $350 = .343 (rounded) --> 34.3%

A dress is priced at $375 and a pair of shoes are $150. If they are both on sale for 30% off, what is price of purchasing them both on sale?

$367.50

$157.50

$525.50

$281.50

$393.75

Explanation

$375 + $150 = $525

Sale price is 30% off or (0.3)($525) = $157.50

Subtract the discount from the initial price: $525 – $157.50 = $367.50

Which of the following fractions is equivalent to

$4 \frac{31}{50}$

$3 \frac{18}{25}$

$5 \frac{2}{5}$

$3 \frac{4}{5}$

$4 \frac{18}{25}$

Explanation

To convert an integer percentage into an improper fraction, set the percentage as a fraction over and simplify as far as you can. At that point, simply convert the improper fraction into a mixed fraction.

$462 % = \frac{462}{100} = \frac{231}{50} = 4 \frac{31}{50}$

Which of the following fractions is equivalent to

$4 \frac{31}{50}$

$3 \frac{18}{25}$

$5 \frac{2}{5}$

$3 \frac{4}{5}$

$4 \frac{18}{25}$

Explanation

$462 % = \frac{462}{100} = \frac{231}{50} = 4 \frac{31}{50}$

A bowl contains marbles that are either red or green. The probability of selecting a red marble at random from the bowl is

Which of the following expressions represents the total number of red marbles in the bowl?

$\frac{x}{25}$

$\frac{25x}{10}$

$\frac{2.5x}{10}$

Explanation

If there are 4 marbles in the bowl, you’d expect 1 to be red. If we use this equation, we get

$\frac{(2.5)(4)}{10}=\frac{10}{10}=1$

If $\dpi{100} \small 80%$ of a number is $\dpi{100} \small 240$ , what is $\dpi{100} \small 125%$ of the number?

$\dpi{100} \small 375$

$\dpi{100} \small 300$

$\dpi{100} \small 325$

$\dpi{100} \small 200$

$\dpi{100} \small 250$

Explanation

$\dpi{100} \small 1.25\times 300=375$ .

Max wants to buy a couch at The Furniture Store. The couch he is considering had been marked on sale for 20% off and was selling for $320. The day he comes in to buy the couch, it has been marked down an additional 40% off of the sale price. What is the difference in the original price of the couch and what Max paid for the couch?

$128

$160

$208

$240

$272

Explanation

First find the original price of the couch. If $320 represents the price after taking 20% off, then $320 = 80% of the original price. To find the original price, divide (320) / (0.8) = 400.

Then find the "additional sale" price. The couch has been marked down an additional 40% from the sale price of $320. Since "40% off" means that you pay 60% of what you would have, multiply the sale price of $320 by the 60% that Max pays. $320 * 0.6 = $192.

Finally, do the subtraction of the original price minus the price Max paid: $400 – $192 = $208.

Percentage

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