Leah has a 20% off coupon for a sports store. There is a tennis racket that is available at a discount of 10%. The store applies the coupon after the 10% is taken. She buys the racket for $34. Approximately, what was the orginal price of the tennis racket

Answer:the orginal price of the tennis racket is $47

Step-by-step explanation:

Let x represent the original price of the tennis racket at the sports store.

Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.

The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be

10/100 * x = 0.1 * x = $0.1x

The discounted price of the racket would be

x - 0.1x = 0.9x

The value of the coupon would be

20/100 * 0.9x = 0.2 * 0.9x = 0.18x

The selling price after the coupon was applied would be

0.9x - 0.18x = 0.72x

She buys the racket for $34. This means that

0.72x = 34

x = 34/0.72 = $47