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Question

Difficulty: EasyDividing in a Ratio

A base commander is distributing a total of 240240 new combat helmets to two platoons in a ratio of 5:35:3. How many helmets will the platoon with the smaller share receive?

Answer: 90 helmets

Answer

The platoon with the smaller share will receive 90 helmets.
To find the smaller share, first add the ratio parts together to find the total number of parts (5+3=85 + 3 = 8). Next, divide the total number of helmets by the total parts (240÷8=30240 \div 8 = 30) to find the value of one part. Finally, multiply the value of one part by the smaller ratio number (30×3=9030 \times 3 = 90).

Step-by-Step Solution

1
Find the total number of ratio parts
5+3=85 + 3 = 8 parts
To determine how many equal parts the total number of helmets is divided into.
2
Calculate the value of one part
240÷8=30240 \div 8 = 30 helmets per part
To find out how many helmets correspond to a single ratio unit.
3
Calculate the smaller share
3×30=903 \times 30 = 90 helmets
To find the number of helmets for the platoon receiving the smaller portion of the ratio.

Key Concept

Dividing a total quantity into a given ratio by finding the value of a single part.
Estimated Time:45s
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Topics

Dividing in a Ratio

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