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Zorluk: KolayDecimal Operations and Currency Word Problems

A soldier buys a pair of tactical boots priced at $50.00\$50.00 at a local surplus store. He uses a coupon for $10.00\$10.00 off his purchase. After the discount is subtracted, a 6%6\% sales tax is applied to the remaining balance. What is the final total cost of the boots?

  1. A
    $40.24\$40.24
  2. B
    $43.00\$43.00
  3. $42.40\$42.40Cevap
  4. D
    $64.00\$64.00

Cevap

$42.40\$42.40
The correct final cost is found by first subtracting the $10.00\$10.00 discount from the $50.00\$50.00 original price, resulting in a $40.00\$40.00 subtotal. The 6%6\% sales tax is then calculated on this new subtotal ($40.00×0.06=$2.40\$40.00 \times 0.06 = \$2.40). Finally, adding the $2.40\$2.40 tax to the $40.00\$40.00 subtotal gives the correct total of $42.40\$42.40.

Adım Adım Çözüm

1
Subtract the coupon discount from the original price to find the subtotal.
$50.00−$10.00=$40.00\$50.00 - \$10.00 = \$40.00
The discount must be applied to the original price before calculating the sales tax.
2
Calculate the 6%6\% sales tax on the new subtotal.
$40.00×0.06=$2.40\$40.00 \times 0.06 = \$2.40
The 6%6\% tax rate is converted to the decimal 0.060.06 and multiplied by the discounted price.
3
Add the sales tax to the subtotal to find the final cost.
$40.00+$2.40=$42.40\$40.00 + \$2.40 = \$42.40
The final total is the sum of the discounted price and the applicable sales tax.

Anahtar Kavram

Calculating sequential discounts and taxes using decimal multiplication
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Konular

Decimal Operations and Currency Word Problems

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