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A budget includes $64,000 for salaries, $12,000 for supplies and $4,000 for equipment. If this budget is increased proportionately until the total amount is $84,000, the amount spent on supplies will be:

Question

A budget includes 64,000forsalaries,64,000 for salaries, 12,000 for supplies and 4,000forequipment.Ifthisbudgetisincreasedproportionatelyuntilthetotalamountis4,000 for equipment. If this budget is increased proportionately until the total amount is 84,000, the amount spent on supplies will be:

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Solution

First, we need to find the total of the initial budget.

The initial budget is 64,000(forsalaries)+64,000 (for salaries) + 12,000 (for supplies) + 4,000(forequipment)=4,000 (for equipment) = 80,000.

Next, we need to find out by what factor the budget is increased.

The budget is increased to 84,000.So,theincreasefactoris84,000. So, the increase factor is 84,000 / $80,000 = 1.05.

Finally, we need to find out how much will be spent on supplies after the increase.

The initial amount for supplies is 12,000.So,aftertheincrease,theamountspentonsupplieswillbe12,000. So, after the increase, the amount spent on supplies will be 12,000 * 1.05 = $12,600.

This problem has been solved

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