To calculate how many CDs you can buy with a $25 gift card given that each CD costs $10.98 plus 5.25% sales tax, we first need to determine the total cost of each CD including tax.
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Calculate the sales tax for one CD: \[ \text{Sales Tax} = 10.98 \times 0.0525 = 0.57765 \]
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Add the sales tax to the original price of the CD to find the total cost: \[ \text{Total Cost per CD} = 10.98 + 0.57765 = 11.55765 \] Rounding this to the nearest penny: \[ \text{Total Cost per CD} = 11.56 \]
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Now we determine how many CDs you can buy with the $25 gift card: \[ \text{Number of CDs} = \text{Floor}\left(\frac{25}{11.56}\right) = \text{Floor}(2.162) \] So, you can buy 2 CDs.
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Calculate the total cost for 2 CDs: \[ \text{Total Cost for 2 CDs} = 2 \times 11.56 = 23.12 \]
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Determine the balance remaining on the gift card after the purchase: \[ \text{Balance} = 25 - 23.12 = 1.88 \]
Therefore, the balance on the card after the purchase is $1.88.