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28 January, 16:25

Three friends own landscaping business. The number of hours each friend spent on the same project is hsown in the table below. In total, they earned $850 for the job. They put 15% of this amount into a joint savings account for furture expenses. They then divided the rest proportionally based on the number of hours each worked. How much money did Shawn receive.

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  1. 28 January, 19:48
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    Note: There is no table below. I'm assuming the hours each one worked to divide the earnings. You can put your own numbers and solve your own problem

    Answer:

    For Shane: 12*$722.50/34=$255

    For Jane: 15*$722.50/34=$318.75

    For Matthew: 7*$722.50/34=$148.75

    Step-by-step explanation:

    Proportions

    It can be used to non-evenly distribute some quantity among n people, where each one deserves their share according to some common criteria. Let's think an amount of money M will be distributed among n people according to the number of hours each one worked for it. Let's assume each person worked some hours equal to a, b, c, d ... k, where a+b+c+d + ... k sum X. The fair distribution of M is:

    For the first person: a. M/X

    For the second person: b. M/X

    For the third person: c. M/X

    And so on. You can check the sum of all the shares is M

    The question states three friends earned $850 in a common project. After putting 15% of it into a joint savings account, they divided the rest proportionally based on the number of hours each worked.

    The amount to divide is 85% of their earnings since 15% will go to the bank

    M=0.85*850=$722.50

    The table is never shown, but let's assume the following

    Shane worked 12 hours

    Jane worded 15 hours

    Matthew worked 7 hours

    Total hours: X=34

    The division will be

    For Shane: 12*$722.50/34=$255

    For Jane: 15*$722.50/34=$318.75

    For Matthew: 7*$722.50/34=$148.75
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