Answer:
$41.54
Step-by-step explanation:
The price of 2 CDs is ...
$10.99 × 2 = $21.98
The discount on this price is ...
20% × $21.98 = $4.40
So, the total price before tax is ...
2 discounted CDs + 2 regular price CDs =
$21.98 - 4.40 + 21.98 = $39.56
Then the tax is ...
5% × $39.56 = $1.98
so the total cost of the purchase is ...
price before tax + tax =
$39.56 + 1.98 = $41.54
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<em>Alternate solution</em>
Alternatively, you can recognize that the number of discounted CDs is the same as the number of CDs not discounted, so the overall price is the same as it would be with half the discount (that is, 4×10.99 less 10%). The added tax multiplies the price by 1.05, so the overall price is ...
4 × 0.90 × 10.99 × 1.05 = 3.78 × 10.99 = 41.54
