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I have 30 coins consisting of nickels, and quarters. The total value of the coins is $4.10. How many of each kind do I have?
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5 votes
I have 30 coins consisting of nickels, and quarters. The total value of the coins is $4.10. How many of each kind do I have?

User Nsthethunderbolt
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1 Answer

3 votes
a=#nickels, b=#quarters

5a + 25b = 410 total value

5(a + 5b) = 410

a + 5b = 82

a + b = 30 total no. of coins

subtracting . . . 4b = 52

thus b = 13 and a = 17

13 quarters and 17 nickels = 13*25 + 17*5 = 410 = $4.10
User Chiggsy
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