Progress Monitoring U2P: Multi-Step Word Problems

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Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds 2 leotards on sale for $24.80 each. She buys them both and finds out that she saved a total of $22.38. If she saved the same amount on each one, what was the original price of each leotard?
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Answer 1

Let's denote the original price of each leotard as \( P \).

Harper buys 2 leotards at a sale price of $24.80 each. Therefore, her total expenditure is: \[ 2 \times 24.80 = 49.60. \]

She saved a total of $22.38 by buying the leotards on sale. Since she saved the same amount on each leotard, the amount saved on each leotard is: \[ \frac{22.38}{2} = 11.19. \]

Thus, the original price of each leotard can be calculated by adding the sale price to the amount saved: \[ P = 24.80 + 11.19 = 35.99. \]

Therefore, the original price of each leotard is \( \boxed{35.99} \).