SOLUTION: A parking meter contains dimes and quarters worth $15.25. There are 103 coins in all. How many of each type of coin are there?

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Question 188050: A parking meter contains dimes and quarters worth $15.25. There are 103 coins in all. How many of each type of coin are there?
Answer by solver91311(24713) About Me  (Show Source):
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Let d be the number of dimes and q be the number of quarters. Since there are 103 coins,

Quantity Equation



The total amount of money is $15.25 or 1525¢. Each dime is worth 10¢ and each quarter is worth 25¢. The total amount of the dimes is then 10d¢ and the total amount of the quarters is 25q¢. So:

Value Equation



But we know that



So we can substitute this expression for d in the value equation, thus:



Solve for q to find the number of quarters. Subtract the number of quarters from 103 to find the number of dimes.

John