SOLUTION: If the patterns of the fines continue at the same rate of increase at what speed will the fines be the same? Given: County A rate is +15, County B rate is +10; at 60mph fine for Co

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Question 263404: If the patterns of the fines continue at the same rate of increase at what speed will the fines be the same? Given: County A rate is +15, County B rate is +10; at 60mph fine for County A is $0 and the fine for County B is $40.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
If I understand the question correctly, we have two equations
(i) 15%28m-60%29
(ii) 10%28m-60%29%2B40
setting them equal, we get
15%28m-60%29+=+10%28m-60%29%2B40
distribute to get
15m+-+900+=+10m+-+600+%2B+40
combine like terms to get
15m+-+900+=+10m+-+560
subtract 10m and add 900 to get
5m+=+340
divide to get
m+=+68
So, at 68 mph,
city A fine will be $120
city B fine will be $120