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Question

Difficulty: MediumBasic Ratios

An aviation maintenance squadron stocks a specific fastener kit containing standard bolts, lock washers, and retaining nuts in a ratio of 7:4:37:4:3. If a master storage bin contains a total of 840840 of these combined items in this exact ratio, how many lock washers are in the bin?

Answer: 240 lock washers

Answer

There are 240 lock washers in the bin.
The total number of items (840840) is divided by the sum of all ratio parts (1414) to find the value of a single share (6060). This share is then multiplied by the specific ratio number corresponding to lock washers (44) to find the final quantity (240240).

Step-by-Step Solution

1
Calculate the total number of parts in the ratio.
7+4+3=147 + 4 + 3 = 14 parts
To determine what fraction of the total bin corresponds to a single proportional unit.
2
Determine the physical number of items represented by one part.
840÷14=60840 \div 14 = 60 items
Dividing the total inventory by the total ratio parts gives the baseline value of a single share.
3
Calculate the specific number of lock washers.
4×60=2404 \times 60 = 240 lock washers
The ratio specifies there are 44 parts of lock washers, and each part equals 6060 items.

Key Concept

Allocating a total known quantity into specific amounts based on a multi-term part-to-part ratio.
Estimated Time:1m 0s
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Topics

Basic Ratios

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