The total number of nickels we have is 15.
Given we have 27 coins, made up of nickels, dimes and quarters.
there total value is $3.30
we have 3 times as many quarters as dimes.
total nickels = ?
let, x = number of dimes
3x = number of quarters
y = number of nickels
then, x ₊ 3x ₊ y = 27
therefore, 4x ₊ y = 27 .. eq(1)
total value of coins in cents = 330
10(x) ₊ 25(3x) ₊ 5(y) = 330
10x ₊ 75x ₊ 5y = 330
85x ₊ 5y = 330
17x ₊ y = 66 ..eq(2)
Subtracting (1) from (2):
13x=39
x=3
So the number of dimes is x=3; the number of quarters is 3x=9; and since the total number of coins is 27, the number of nickels is 15.
hence the total number of nickels is 15.
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