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Zorluk: KolayDividing in a Ratio

A logistics officer needs to distribute 150150 tactical backpacks between two infantry squads in a ratio of 2:32:3. How many backpacks will the squad with the smaller share receive?

Cevap: 60 backpacks

Cevap

60
To solve the problem, we first determine that the total ratio consists of 55 parts (2+32 + 3). Dividing the 150150 total backpacks by 55 parts gives us 3030 backpacks for every single part. Because the question asks for the squad with the smaller share, we multiply the 3030 backpacks by the smaller ratio number (22), which results in 6060 backpacks.

Adım Adım Çözüm

1
Calculate the total number of parts in the ratio by adding the given values.
2+3=52 + 3 = 5 total parts.
This establishes the total number of equal shares the backpacks will be divided into.
2
Determine the number of backpacks in a single part by dividing the total amount by the total parts.
150÷5=30150 \div 5 = 30 backpacks per part.
Finding the unit value allows us to calculate any specific share in the proportion.
3
Calculate the smaller share by multiplying the unit value by the smaller number in the ratio.
30×2=6030 \times 2 = 60 backpacks.
The question asks for the smaller share, which corresponds to the 22 parts in the 2:32:3 ratio.

Anahtar Kavram

Dividing a total quantity into a given ratio
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Konular

Dividing in a Ratio

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