maths

Edward has $40 more thanFariq. If Edward gives 1/5 of his money to Fariq. Fariq will have7/8 as much money as Edward. How much money do they have altogether.

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  1. Fariq has $X.
    Edward has $(X+40).

    Edward.
    Bal. = (X+40) - (X+40)/5
    Bal. = (X+40)-(0.2x+8)
    Bal. = X+40 -0.2x-8 = 0.8x+32.

    Fariq.
    Bal. = X + (0.2x+8) = 1.2x + 8.
    1.2x+8 = 7/8(0.8x+32)
    1.2x+8 = 0.7x+28
    1.2x-0.7x = 28-8 = 20
    0.5x = 20
    X = $40.
    X+40 = 40+40 = $80.

    Tot. = 40 + 80 = $120.

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