Question

Joyce paid $94.50 for an item at the store that was 55 percent off the original price. What was the original price?

Answer 1

Answer:

$210

Step-by-step explanation:

The original price of the item = 100%

If the item was reduced by 55%, then the discounted price of the item = 100% - 55% = 45%

Therefore, $94.50 = 45% of the original price.

45% = 45/100 as a ratio

Using ratios, and letting $x$ be the original price:

                                                   94.50/$x$ = 45/100

Cross multiply:                    94.50 x 100 = 45 x $x$

                                                       9450 = 45$x$

Divide both sides by 45:                   210 = $x$

Therefore, the original price of the item was $210

Alternatively, divide 94.50 by 45 to get the cost per 1%.  Then multiply this by 100 to get the original price (100%):

(94.50 ÷ 45) x 100 = 210