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Elise took all of her cans and bottles from home to the recycling plant. The number of cans was one more than four times the number of bottles. She earned $0.10 for each can and $0.12 for each bottle, and ended up earning $2.18 in all. How many cans and bottles did she recycle?

1 Answer

3 votes
0.10c + 0.12b = 2.18
c = 4b + 1

0.10(4b + 1) + 0.12b = 2.18
0.40b + 0.10 + 0.12b = 2.18
0.40b + 0.12b = 2.18 - 0.10
0.52b = 2.08
b = 2.08 / 0.52
b = 4 <==== she had 4 bottles

c = 4b + 1
c = 4(4) + 1
c = 16 + 1
c = 17 <=== she had 17 cans

User Alrick
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