To solve this, you can set up an equation: . Translated into words, the new price equals the original price minus the discount. Isolate for  and you get .

The negative sign signals that the percentage is a mark down. Convert the fraction into a percentage and you get . 

In order to find the sale price, we must subtract 35% of $25.95 from $25.95.

35% of $25.95 is 0.35 times $25.95 whic is $9.08.

$25.95 minus $9.08 is $16.87.

To directly compare the two discounts, one method would be to figure out how many dollars you'd save with 15% off. To figure out 15% of $200, multiply 200 by 0.15. This would give you 30, meaning that you'd be saving $30 with this discount. Since $30 is more money than $20, needless to say, it's a better discount.

The reason the other choice stating that 15% off would save you more is wrong is that it says $20 is 5%, when it is actually 10%.

There are a couple of different ways that we can solve this problem.

We could figure out what 20% of the original price is and then subtract that. We find 20% of $139.99 by converting 20% into its decimal equivalent 0.2 and multiplying. This gives us 27.998. Subtracting that from 139.99 gives us 111.99.

We could also figure out that if we are subtracting 20%, we will be paying 80% of the original price, since 20% + 80% would give us 100%, the full price. So we could find 80% of 139.99, multiplying 0.8 times 139.99 to get 111.99.

In order to find the sales price of the coat we need to convert the sales percentage into a decimal. To do this, divide it by one hundred or just move the decimal two spaces to the left. From here we can can calculate the new price of the coat by subtracting the decimal percentage from the original and then multiplying the original price by this new decimal. 

First, we will convert the sales percent to a decimal.

Substitute this number and the original price of the coat into the above formula to calculate the sale price.

Round up to two decimal places.

In order to find the sales price of the plate we need to convert the sales percentage into a decimal. To do this, divide it by one hundred or just move the decimal two spaces to the left. From here we can can calculate the new price of the plate by subtracting the decimal percentage from the original and then multiplying the original price by this new decimal. 

First, we will convert the sales percent to a decimal.

Substitute this number and the original price of the plate into the above formula to calculate the sale price.

Round to two decimal places.

 of  is calculated as follows:

This step can be repeated for all of the possible answers, but in this case,  is correct. 

A discount of  means that the backpacks will now retail for  of their original retail value:

With a  discount, Larry is paying  of the full price for the food:

To find the discounted price, we want to find  of  and subtract that from the full price: