Maths

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3 boys, Aaron, Benny and Charles, share a sum of money. Aaron receives 40% of the sum of money. Benny receives 3 times as much as Charles and $29 more than Aaron.
a.) What percentage of the sum of money does Charles get?
b.) What is the total sum of money given to the 3 boys?

  • Maths -

    Sum = $X.
    Aaron = 0.4x.
    Benny = (0.4x+29).
    Charles = (0.4x+29)/3.

    a. 0.4x + (0.4x+29) + (0.4x+29)/3 = $X.
    Multiply both sides by 3:
    1.2x + 1.2x + 87 + 0.4x + 29 = 3x
    2.8x - 3x = -116
    -0.2x = -116
    X = $580.
    Charles = (0.4*580+29)/3 = $87.
    Charles % = (87/580)*100% = 15.

    b. Total = X = $580.

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