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?

Question

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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GPT-4o mini · Answer

To find the original price of each leotard, we first need to calculate how much Harper saved on each leotard.

Harper bought 2 leotards and saved a total of $22.38. Since she saved the same amount on each leotard, we can find the amount she saved on one leotard by dividing the total savings by the number of leotards:

\[ \text{Savings per leotard} = \frac{\text{Total Savings}}{\text{Number of leotards}} = \frac{22.38}{2} = 11.19 \]

Now we know that Harper saved $11.19 on each leotard. Since she bought each leotard for $24.80, we can find the original price of each leotard by adding the savings back to the sale price:

\[ \text{Original Price} = \text{Sale Price} + \text{Savings per leotard} = 24.80 + 11.19 \]

Calculating this gives:

\[ \text{Original Price} = 24.80 + 11.19 = 35.99 \]

Thus, the original price of each leotard is $\boxed{35.99}$.