A base defense unit receives a shipment of 7,500 sandbags to reinforce security perimeters… — Armed Services Vocational Aptitude Battery (ASVAB)

A base defense unit receives a shipment of $7,500$ sandbags to reinforce security perimeters. If $18\%$ of the sandbags are deployed to the north gate and $34\%$ are deployed to the east gate, how many sandbags remain in the reserve depot?

Answer: 3600 sandbags

Answer

There are 3,600 sandbags remaining in the reserve depot.

The correct answer is found by first determining the total percentage of sandbags allocated to the gates, which is

18\% + 34\% = 52\%

. Subtracting this from the total

100\%

leaves

48\%

for the reserve depot. Multiplying

0.48

by the initial

7,500

sandbags gives the final remaining amount of

3,600

sandbags.

Step-by-Step Solution

Calculate the total percentage of deployed sandbags.

18\% + 34\% = 52\%

This consolidates the parts of the whole that have already been allocated.

Determine the percentage of sandbags that remain.

100\% - 52\% = 48\%

Subtracting the allocated portion from the total whole (100%) gives the remaining fraction.

Calculate 48% of the initial 7,500 sandbags.

0.48 \times 7500 = 3600

This translates the remaining percentage back into a specific physical quantity.

Key Concept

Calculating the remaining percentage of a quantity by subtracting the used percentages from

100\%

, then multiplying by the original total.

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