SOLUTION: There are 45 cents in nickels. There is a total of 3.65 in dimes, nickels, and quarters.There are 4 less quarters than the total amount of dimes. There are 29 coins in all. How man

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Question 1102798: There are 45 cents in nickels. There is a total of 3.65 in dimes, nickels, and quarters.There are 4 less quarters than the total amount of dimes. There are 29 coins in all. How many dimes, nickels, and quarters are there in total?
Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


There is more information in the problem than necessary. Sometimes in cases like that, the information is self-contradictory, making a solution to the problem impossible. Fortunately in this problem all the given information is consistent.

45 cents in nickels means 9 nickels; since the total number of coins is 29, that means the total number of dimes and quarters is 20. If the number of quarters is 4 less than the number of dimes, and the total number of quarters and dimes is 20, then there are 8 quarters and 12 dimes.

Fortunately, those numbers give the stated total of $3.65.

Answer: 9 nickels, 12 dimes, 8 quarters