### All ACT Math Resources

## Example Questions

### Example Question #21 : How To Find The Sale Price

How much do you save if you bought a shirt that normally costs 19.99 at a 25% discount? Ignore sales tax and round your answer to the nearest cent.

**Possible Answers:**

**Correct answer:**

To find how much money you save on a sale. Turn the sale percentage into a decimal and multiply it by the normal price:

### Example Question #21 : Sale Prices

Denzel is going to the store to buy a guitar. He sees one he likes that's listed at but on sale for off. How much will Denzel pay if he chooses to buy the guitar (ignore sales tax, round to the nearest cent)?

**Possible Answers:**

**Correct answer:**

To find the sales price of an item given that it is off, first subtract from . This gives , which means Denzel is paying for of the guitar's original price. Next, convert that into a decimal and multiply by the guitar's cost:

### Example Question #27 : How To Find The Sale Price

Julie only has to spend on a prom dress on tax free weekend. She has narrowed her search down to her four favorites: a red dress costing but marked down a blue dress costing marked down , a yellow dress costing marked down , and a purple dress costing marked down . Which dress can Julie buy?

**Possible Answers:**

red dress

She cannot afford any of the dresses.

purple dress

blue dress

yellow dress

**Correct answer:**

yellow dress

This is a percentages problem. To find the price of an item on sale by a certain percentage, you subtract that percentage decimal from 1.0, and multiply that number by the cost of the dress. Then, you compare that number to the amount she has to see if she can afford it.

Red dress price=

Blue dress price=

Yellow dress price=

Purple dress price=

Since the yellow dress is the only dress under her total amount of money, that is the only dress she can afford.

### Example Question #21 : Sale Prices

To find the sale price for a single item or group of like items, one can use the equation , where is the discounted price, is the original price, and is the percent to be discounted in decimal form.

A pair of headphones normally sells for . If the headphones are on a -off discount, how expensive are they?

**Possible Answers:**

**Correct answer:**

To find the new sale price, apply the discount to the original price in decimal form.

--->

### Example Question #22 : How To Find The Sale Price

To find the sale price for a single item or group of like items, one can use the equation , where is the discounted price, is the original price, and is the percent to be discounted in decimal form.

A car ordinarily sells for , but a savvy consumer walks out having paid only of that price. How much did the customer pay?

**Possible Answers:**

**Correct answer:**

Applying our equation from above:

--->

So, the customer paid , or of the original price.

### Example Question #21 : Sale Prices

To find the sale price for a single item or group of like items, one can use the equation , where is the discounted price, is the original price, and is the percent to be discounted in decimal form.

Some clothes are on sale at off retail. If a customer buys three pairs of jeans for a total of , what was the original price of one pair of jeans?

**Possible Answers:**

**Correct answer:**

We can apply our formula, but first we should divide the total price by , then fill in what we know:

--->

So, one pair of jeans without discount costs .

### Example Question #31 : Sale Prices

A pack of batteries is on sale for of the normal price. If ten packs cost , what is the non-discounted price of one pack of batteries?

**Round to the nearest .**

**Possible Answers:**

**Correct answer:**

We can apply our formula, if we remember to first divide by :

--->

Thus, our rounded answer is .

### Example Question #32 : How To Find The Sale Price

A video game is normally priced at . If the game is subsequently purchased for , what was the discount, as a percent, on the purchase?

**Possible Answers:**

There is not enough information to answer the question.

**Correct answer:**

To find the discount as a percent, simply divide the sale price by the original price, and multiply by (to convert from a decimal to a percent).

-->

Thus, the game was purchased on a discount.

### Example Question #33 : How To Find The Sale Price

A steak dinner at Steaks 'R Us is normally priced at . The restaurant gives a discount to a preferred customer, and they eat for . What was the discount, as a percent, on the dinner?

**Possible Answers:**

**Correct answer:**

To find the discount as a percent, simply divide the sale price by the original price, and multiply by (to convert from a decimal to a percent).

-->

Thus, the game was purchased on approximately discount.

### Example Question #31 : How To Find The Sale Price

Company A sells bicycles normally costing for . Company B sells bicycles normally costing for . Which company offers a greater discount, as a percentage?

**Possible Answers:**

Company B

There is not enough information to answer the question.

Company A

Both companies offer the same percentage discount.

**Correct answer:**

Company B

Here we are looking to solve our equation for . We need only to solve each equation for , with the bigger representing the bigger percent discount.

--->

For Company A:

For Company B:

Thus, Company B offers the greater discount by percentage.