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Zorluk: OrtaDecimal Operations and Currency Word Problems

A civil engineering technician is buying supplies for a base surveying project. He purchases 44 rolls of marking tape for $6.35\$6.35 each and 33 cans of spray paint for $4.75\$4.75 each. If he hands the cashier a $50.00\$50.00 bill, how much change should he receive?

  1. $10.35\$10.35Cevap
  2. B
    $11.35\$11.35
  3. C
    $23.17\$23.17
  4. D
    $39.65\$39.65

Cevap

$10.35\$10.35
The correct sequence of operations is to find the total cost of all items and then subtract that sum from the payment amount. First, multiplying 44 rolls of tape by $6.35\$6.35 gives $25.40\$25.40. Next, multiplying 33 cans of paint by $4.75\$4.75 gives $14.25\$14.25. Adding these amounts provides the total purchase price of $39.65\$39.65. Finally, subtracting $39.65\$39.65 from the $50.00\$50.00 bill yields exactly $10.35\$10.35 in change.

Adım Adım Çözüm

1
Calculate the total cost of the marking tape.
4×$6.35=$25.404 \times \$6.35 = \$25.40
To find the cost contribution of the first item.
2
Calculate the total cost of the spray paint.
3×$4.75=$14.253 \times \$4.75 = \$14.25
To find the cost contribution of the second item.
3
Add the costs of the two items to find the total purchase amount.
$25.40+$14.25=$39.65\$25.40 + \$14.25 = \$39.65
To determine the full amount owed to the cashier.
4
Subtract the total purchase amount from the amount given to the cashier.
$50.00−$39.65=$10.35\$50.00 - \$39.65 = \$10.35
To determine the exact amount of change to be returned.

Anahtar Kavram

Solving multi-step currency word problems requires careful decimal multiplication to find itemized totals, followed by decimal addition for the grand total, and decimal subtraction to determine change due.
Tahmini Süre:1m 15s
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Decimal Operations and Currency Word Problems

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