SOLUTION: a parking meter contains $27.05 in quarters and dimes. There are 146 coins in the meter. How many of each type are in the meter?

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Question 590975: a parking meter contains $27.05 in quarters and dimes. There are 146 coins in the meter. How many of each type are in the meter?
Answer by ad_alta(240) About Me  (Show Source):
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Let 'q' be the number of quarters and 'd' the number of dimes. Then 0.1*d+0.25*q=27.05 and d+q=146. Substituting the second equation into the first we get 0.1*(146-q)+0.25*q=27.05, so q=83 and d=63.