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):
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
My calculator said it, I believe it, that settles it