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If you start with 30 nickels, you have $1.50. Every time you replace a nickel by a quarter, you gain 20 cents. $4.10 is $2.60 more than $1.50, so you need 13 quarters, leaving 17 nickels. Check: 13*0.25 + 17*0.05 = 3.25 + 0.85 = 4.10.

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Q: You have 30 coins consisting of nickels and quarters The total value of the coins is 4.10 How many of each kind do you have?
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