All ACT Math Resources
Example Questions
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)?
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 #21 : 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?
blue dress
red dress
She cannot afford any of the dresses.
purple dress
yellow dress
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 #131 : Percentage
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?
To find the new sale price, apply the discount to the original price in decimal form.
--->
Example Question #24 : 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 car ordinarily sells for , but a savvy consumer walks out having paid only of that price. How much did the customer pay?
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?
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 #1297 : Act Math
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 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 .
We can apply our formula, if we remember to first divide by :
--->
Thus, our rounded answer is .
Example Question #31 : 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 video game is normally priced at . If the game is subsequently purchased for , what was the discount, as a percent, on the purchase?
There is not enough information to answer the question.
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 #1293 : Act Math
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 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?
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
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.
Company A sells bicycles normally costing for . Company B sells bicycles normally costing for . Which company offers a greater discount, as a percentage?
There is not enough information to answer the question.
Company A
Company B
Both companies offer the same percentage discount.
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.
Example Question #1301 : Act Math
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.
Maria makes cakes for big events, like weddings and graduations. She sells a cake that costs her to make for a total of . The customer later purchases another cake identical to the first one, and Maria gives a discount, selling the second cake for only . What percent of Maria's profits did she sacrifice for the customer?
It is a mistake to assume that we must calculate the profit percentage of each sale to find the answer to this problem. All we need to do to solve is to compare the ratio of the new sale's absolute amount to the old sale's absolute amount, and we will have our percentage.
So, Maria gave up approximately of her profits on the second cake.
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