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Difficulty: MediumBasic Ratios

A military installation allocates its annual training budget between field exercises and classroom instruction in a ratio of 5:25:2. If the total annual training budget is $84,000\$84,000, how much money is allocated to classroom instruction per month?

  1. A
    $2,800\$2,800
  2. $2,000\$2,000Answer
  3. C
    $24,000\$24,000
  4. D
    $5,000\$5,000

Answer

The correct answer is $2,000\$2,000.
The total budget is divided into 77 equal parts (5+25 + 2). Since classroom instruction receives 22 parts, its annual allocation is 27\frac{2}{7} of $84,000\$84,000, which is $24,000\$24,000. Dividing this annual amount by 1212 months gives a monthly allocation of $2,000\$2,000.

Step-by-Step Solution

1
Determine the total number of parts in the ratio.
5+2=75 + 2 = 7 total parts.
To find the value of a single share of the budget, the total amount must be divided by the total number of parts.
2
Calculate the value of one part of the budget.
$84,000÷7=$12,000\$84,000 \div 7 = \$12,000 per part.
This establishes the base unit for the ratio.
3
Determine the annual budget for classroom instruction.
2×$12,000=$24,0002 \times \$12,000 = \$24,000.
Classroom instruction corresponds to 22 parts of the 5:25:2 ratio.
4
Convert the annual budget to a monthly budget.
$24,000÷12=$2,000\$24,000 \div 12 = \$2,000.
The question specifically asks for the monthly allocation.

Key Concept

Calculating proportional shares of a total amount and converting between time periods.
Estimated Time:1m 0s
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Topics

Basic Ratios

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