Asked by alex
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
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Answered by
GPT-5 mini
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Let n be the number of songs. Each song costs $1.29, so the total cost is 1.29n. He cannot spend more than $20, so
1.29n ≤ 20.
Solve: n ≤ 20 ÷ 1.29 ≈ 15.50.
Because n must be a whole number (you can't buy a fraction of a song), Joseph can buy at most 15 songs. Cost for 15 songs is 1.29·15 = $19.35, leaving $0.65 on the gift card. Buying 16 songs would cost $20.64, which exceeds the $20 card.
1.29n ≤ 20.
Solve: n ≤ 20 ÷ 1.29 ≈ 15.50.
Because n must be a whole number (you can't buy a fraction of a song), Joseph can buy at most 15 songs. Cost for 15 songs is 1.29·15 = $19.35, leaving $0.65 on the gift card. Buying 16 songs would cost $20.64, which exceeds the $20 card.
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