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1 December, 23:46

Marta's jump rope is 10" shorter than four times the length of Dilbert's rope. If both their ropes laid together end to end and measured 120" long, how long is Marta's rope?

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  1. 2 December, 00:39
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    Marta's rope is 94"

    Step-by-step explanation:

    D = dilberts rope length

    M = marta's rope length

    Marta's jump rope is 10" shorter than four times the length of Dilbert's rope

    M = 4D-10

    both their ropes laid together end to end and measured 120" long

    M+D = 120

    Substitute 4D-10 for M in the second equation

    4D-10 + D = 120

    Combine like terms

    5D-10=120

    Add 10 to each side

    5D-10+10 = 120+10

    5D = 130

    Divide by 5

    5D/5 = 130/5

    D = 26

    Now we need to find M

    M+D = 120

    M + 26 = 120

    Subtract 26 from each side

    M = 120-26

    M = 94
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