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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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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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Aug 27, 2021
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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?
Mathematics
high-school
Nsthethunderbolt
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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
Chiggsy
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Sep 1, 2021
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Chiggsy
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