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21 September, 19:50

The sandwich shop offers combo meals with a choice of one sandwich, one side, and one drink. On total there are 560 combos available. If there are 16 sandwiches and 5 drinks available, how many sides are there?

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  1. 21 September, 20:20
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    There are 7 sides available.

    The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x ...)

    This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides:

    15 (6) (S) = 560

    80S = 560

    Divide both sides by 80:

    80S = 560/80

    S = 7
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