Kameron paid $3.60 for a book. It was marked down 50% of its original price, and he also used a coupon to save an additional 40% off of the sale price. What was the original price?

Question

Mathematics

Caitlin Henderson

13 November, 16:27

Kameron paid $3.60 for a book. It was marked down 50% of its original price, and he also used a coupon to save an additional 40% off of the sale price. What was the original price?

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Answers (1)

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Brett Deleon · Answer 1

Answer: the original price of the book is $12

Step-by-step explanation:

Let x represent the original price of the book.

It was marked down 50% of its original price. This means that the amount by which the original price was reduced is

50/100 * x = 0.5 * x = 0.5x

The sale price would be

x - 0.5x = 0.5x

He also used a coupon to save an additional 40% off the sale price. This means that the value of the applied coupon is

40/100 * 0.5x = 0.2x

The amount that he would pay for the book is

0.5x - 0.2x = 0.3x

If Kameron paid $3.60 for a book, it means that

0.3x = 3.6

x = 3.6/0.3

x = $12