An armored battalion maintains a strict ratio of combat crew members to maintenance person… — Armed Services Vocational Aptitude Battery (ASVAB)

An armored battalion maintains a strict ratio of combat crew members to maintenance personnel of $7:3$ . If there are $210$ combat crew members currently assigned to the battalion, how many maintenance personnel are assigned?

A
$300$
B
$63$
C
$490$
$90$ Answer

Answer

There are

90

maintenance personnel assigned to the battalion.

The ratio of combat crew to maintenance personnel is given as

7:3

. This means for every

7

combat crew members, there are

3

maintenance personnel. Since there are

210

combat crew members, we can set up the proportion:

7/3 = 210/M

. Solving for

M

, we get

7M = 630

, which means

M = 90

Step-by-Step Solution

Set up a proportion using the given ratio of combat crew to maintenance personnel.

\frac{7}{3} = \frac{210}{M}

Proportions allow us to find a missing quantity when the ratio between two parts is known.

Solve the proportion for the number of maintenance personnel (

M

7 \times M = 210 \times 3 \Rightarrow 7M = 630 \Rightarrow M = 90

Cross-multiplying and then dividing by

7

isolates the variable

M

to provide the final answer.

Key Concept

Solving for a missing part in a two-term ratio

Estimated Time:1m 0s

Question

Answer

Step-by-Step Solution

Key Concept

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