Question

you have 27 coins, which are made up of nickels, dimes, and quarters, whose total value is $3.30. you have three times as many quarters as dimes, how many nickels do you have?

Answer 1

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.

Learn more about Linear equations here:

brainly.com/question/13729904

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