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