SOLUTION: 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. If a

Question 1007087: 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. If a store has room for 15 jars and they want 1560 total pieces of candy, how many jars will contain smaller candies?

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
This feels like a two-variable, linear system application.

One size of jar, but two sizes of candy.
120 smallcandy/jar
80 bigcandy/jar

Assign variables: x small candies, y big candies

Need 1560 pieces of candy.

How can accounting of the jars be done?
x small candies and y big candies must use 15 jars;
----think about the units included but unwritten here. ACCOUNTS for the jars.

System of two linear equations

and a bit of clever algebra or fraction arithmetic lets the jar account equation give the system as

Solve this system.

Quick use of the elimination method will give .
.
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