Maths

karen decorated her mother's birthday cake. one-third of candles are pink, three-eights are yellow, one-quater are blue and the two remaining candles are white. calculate

(a). the fraction of candles that are white.

(b). the total number of candles on the cake.
Need answer for a and b. PLEASE!!!

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  1. total number ---- x
    (x/3 + 3x/8 + x/4) + 2 = x
    (8x/24 + 9x/24 + 6x/24) + 2 = x
    23x/24 + 2 = x
    before going further, 1/24 of the candles must be white
    and x/24 = 2
    x = 48

    check:
    there were 48 candles,
    1/3 pink ---- 16
    3/8 yellow --- 18
    1/4 blue ----- 12 , total sofar = 46
    leaving 2 whites

    my answer is correct

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