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i have two piece of ribbon one is 17.5cm longer than the other and 1/3 of one ribbon is the same as 3/4 of the other what is the size of the smaller ribbon

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  1. s = smaller , r = longer

    s + 17.5 = r

    r / 3 = 3 s / 4 ... 4 r = 9 s

    solve the system

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  2. that doesn't answer the question though does it ?

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  3. X=x
    Y=(x+17.5)
    1/3Y=3/4x
    1/3(x+17.5)=3/4x
    x+17.5=3/4x*3
    x+17.5=9x/4
    17.5=(9x/4)-x
    17.5=(9x-4x)/4
    17.5*4=5x
    70=5x
    14=x
    So, shortest piece of ribbon is 14cm

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