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15 December, 14:14

Alan has 80% more stamps than Billy. Billy has 3/5 of the number of Charlies stamps. If Billy gave 150 stamps to Charlie, then Charlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?

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  1. 15 December, 14:41
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    A=alan

    b=billy

    c=charlie

    a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy

    0.2a=c

    b has 3/5 of c

    b=3/5c

    if b-150 and c+150, (c+150) = 3 times (b-150)

    luckily we can related c and b

    b=3/5c

    c+150=3 (3/5c-150)

    distribute

    c+150=9/5c-450

    add 450 both sides

    c+600=9/5c

    minus c both sides

    600=4/5c

    times 5/4 both sides

    750=c

    charlie has 750 stamps

    billy=3/5 times c

    b=3/5 times 750

    b=450

    allan has 80% more than billy

    0.2a=b

    0.2a=450

    divide both sides by 0.2

    a=2250

    b=450

    a=2250

    c=750

    add them

    a+b+c=2250+450+750=3450 stamps
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