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A carpenter's tool box is made up of nails, screws, washers, and brackets in a ratio of 4:11:9:6. The total number of the pieces in the box is 60. If 5 carpenters have identical tool boxes, how many total washers are in the boxes?

A. 18
B. 48
C. 62
D. 90

User Aethex
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2 Answers

1 vote

Answer:

D

Explanation:

I did it too

User Akansh Tayal
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Answer: D 90

Explanation:

One way to do this follows: Find the ratio, r, which when multiplied by each of the four numbers in the ratio produces the actual number of parts present:

4r + 11r + 9r + 6r = 60

Summing these up results in 30r = 60, so r is 2.

There are 4(2), or 8, nails,

11(2), or 22, screws,

9(2), or 18, washers, and

6(2), or 12, brackets.

Note that 8 + 22 + 18 + 12 = 60 (total number of parts)

If 5 carpenters have identical boxes, there will be 5(18), or 90, total washers.

User Matt Pavelle
by
8.4k points
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