Question

A candy maker makes two sizes of candies. Using the smaller size, a full jar will contain 120 pieces of candy. Using the larger candies a jar will contain 80 pieces of candy. The candy maker has a strict rule that no jars will contain a mix of small and large candies. If a store has room for 15 jars and they want 1560 total pieces of candy, how many jars will contain smaller candies?

Answer 1

A.T.Q, your equation would be:

x+y=15 (x=jar of small candy;y=of larger candy)----1

120x+80y=1560---------------------------------------------2

Sunstitute value of y from equation 1, which is y=15-x

120x+80(15-x)=1560

120x-80x+1200=1560

40x=360

x=9

So, 9 jars will contain small candies.