Question

A store sold a case of candles for $17.85 that had been marked up 10%. what was the original price?

Answer 1

Step-by-step explanation:

The original price was $16.23

Explanation:

We can rewrite this problem as:

110% of what is $17.85.

"Percent" or "%" means "out of 100" or "per 100", Therefore 110% can be written as

110 x/100

.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for

n

while keeping the equation balanced:

110/100 × n = $17.85

110/100 × n = $17.85

110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85

110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85

100/110 <¬ cross out × 110/100 <¬ cross out × n = $ 1785/110

× n = $ 1785/110

n = $16.23n rounded to the nearest penny.