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Zorluk: OrtaCalculating Percentages of Quantities

Read the problem carefully and calculate the remaining budget.

Cevap:A base civil engineering squadron has an annual budget of \$60,00060,000 for facility maintenance. During the first quarter, they spend 30%30\% of the total budget. During the second quarter, an unexpected repair requires them to spend 25%25\% of the *remaining* budget. The amount of money left in the budget for the rest of the year is \$【31500】.

Cevap

The remaining budget is $31,500.
To find the final remaining amount, calculate the expenses sequentially. First, find 30%30\% of the initial $60,000\$60,000, which is $18,000\$18,000. Subtracting this leaves $42,000\$42,000. Next, find 25%25\% of the remaining $42,000\$42,000, which is $10,500\$10,500. Subtracting this from $42,000\$42,000 leaves a final balance of $31,500\$31,500.

Adım Adım Çözüm

1
Calculate the amount spent in the first quarter.
30%30\% of $60,000=0.30×60,000=$18,000\$60,000 = 0.30 \times 60,000 = \$18,000
The squadron spends 30% of their initial total budget.
2
Calculate the budget remaining after the first quarter.
$60,000−$18,000=$42,000\$60,000 - \$18,000 = \$42,000
Subtract the first quarter expenses from the total budget to find the new balance.
3
Calculate the amount spent in the second quarter.
25%25\% of $42,000=0.25×42,000=$10,500\$42,000 = 0.25 \times 42,000 = \$10,500
The second quarter expenses are based on the remaining budget, not the original total.
4
Calculate the final remaining amount.
$42,000−$10,500=$31,500\$42,000 - \$10,500 = \$31,500
Subtract the second quarter expenses from the balance to find the final remaining funds.

Anahtar Kavram

Calculating sequential percentages of changing quantities.
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