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12 July, 02:00

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?

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Answers (2)
  1. 12 July, 05:26
    0
    Step-by-step 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.
  2. 12 July, 05:37
    0
    45 total washers

    Step-by-step explanation:

    Looking at the ratio of 4:11:9:6, we know that there are,

    4 nails in each tool box

    11 screws in each tool box

    9 washers in each tool box

    6 brackets in each tool.

    Given that there are 5 carpenters with identical tool boxes, we can find the total amount of washers by multiplying the amount of washers in each box with how many carpenters there are.

    9 * 5 = 45
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