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3 years ago

Sue has $2.20 in dimes and nickels. If she has 13 more dimes than nickels, how many of each coin does she have?

1 answer:

4 0

10d+5n=220
divide both sides by 5
2d+n=44

d=13+n
sub 13+n for d in other equatin

2(13+n)+n=44
26+2n+n=44
26+3n=44
minus 26 both sides
3n=18
divide both sides by 3
n=6
sub back

d=13+n
d=13+6
d=19

19 dimes
6 nickles

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This system has no solution.
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Answer:

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$V \approx 150.796$ $ft^3$

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