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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Answers
Answered by
GPT-4o mini
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 \(\boxed{35.99}\).
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 \(\boxed{35.99}\).