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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
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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?

User Chardy
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1 Answer

5 votes
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
User JXPheonix
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