SOLUTION: A bag of coins contains 30 coins, some dimes and some quarters. The total amount of money in the bag is $3.45. How many dimes and quarters are in the bag?

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Question 509942: A bag of coins contains 30 coins, some dimes and some quarters. The total amount of money in the bag is $3.45. How many dimes and quarters are in the bag?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the number of quarters. Then, since there are 30 coins altogether and the only consist of dimes and quarters, the number of dimes must be . Each of the quarters has a value of 25 cents, so the total value of the quarters is cents. Likewise, the total value of the dimes is cents. The total value of all the coins is $3.45 which is to say 345 cents. Putting it all together:



Solve for to find the number of quarters, then calculate to find the number of dimes.

John

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