Question

A book is marked 20% off. What percent of the original price is the sales price? (What percent do you still have to pay for?) If the original price is $55, how much will the sales price be? If the sales price rings up as $46.60, what was the original price?

Answer 1

Answer:

1. 80%

2. $44

3. 58.25

Step-by-step explanation:

If a book is 20% off then it will still have 80% that you have to pay for because the highest possible percentage is 100% and 100-20 is 80.

Percents can also be represented as decimals.

20% -> .20 80%->.80

There are two ways you can solve the next question.

55 - 55(.20) = 44

55(.80) = 44

If $46.60 is the sales price then it is .80 of the original price.

This can be written as an algebraic formula.

Let x be the unknown total price.

.80*x = 46.60

x = 46.60 ÷ (.80) = 58.25

You could also realize that .80=80/100=4/5. So divide 46.60 by 4 and multiply that by 5.

46.60÷4=11.65

11.65*5=58.25