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Your friend gives you a gift card for $25.00. CDs cost $10.98 each plus 5.25% sales tax. You buy as many CDs as possible without having to pay extra money. What is the balance on the card after the purchase

Respuesta :

frika

Answer:

$1.89

Step-by-step explanation:

If one CD cost $10.98 plus 5.25% sales tax, then the totasl cost of one CD is

[tex]\$(10.98+10.98\cdot 0.0525)=\$(10.98+0.57645)=\$11.55645.[/tex]

Let n be the number of CDs you can buy, then their cost is

[tex]\$11.55645n.[/tex]

Since you have $25.00 gift card, you can buy

[tex]11.55645n\le 25.00,\\ \\n\le \dfrac{25}{11.55645}[/tex]

Cds. The maximum number of CDs you can buy is 2.

2 CDs cost [tex]\$11.55645\cdot 2=\$23.1129[/tex] and then [tex]\$25-\$23.1129=\$1.8871\approx \$1.89[/tex] will left.