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10 February, 07:44

A shop sells boxes of chocolate. In total there are 252 dark chocolate and 180 milk chocolates. if every box is identical, how many boxes could there be?

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  1. 10 February, 08:08
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    12 boxes.

    Step-by-step explanation:

    We need to find the greatest common factor of 251 and 180:

    First find the prime factors:

    252 = 2*2*3*3*7

    180 = 2*2*3*3*5

    So the GCF = 2*2*3*3 = 36.

    So id each box is identical, there could be 7 boxes of dark chocolates and 5 boxes of milk chocolates each containing 36 chocolates.

    Total number of boxes = 12.
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