SOLUTION: Erasers cost $6 per carton and pencils cost $7 per carton. If an order comes in for a total of 16 cartons for $100, what was the number of cartons of each bought?

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Question 655307: Erasers cost $6 per carton and pencils cost $7 per carton. If an order comes in for a total of 16 cartons for $100, what was the number of cartons of each bought?
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's have e represent erasers and p for pencils. We can set up 2 equations:
6e + 7p = 100
e + p = 16 rewritten as: e=16-p
Substitution:
6(16-p)+7p=100
Expand:
96-6p+7p=100
Combine and subtract 96 to get:
p=4
e=12
Make sense?
RJ
www.math-unlock.com