SOLUTION: A bag contains nickles and quaters. There are 6 more nickles than quaters. Te total value of the coins is $4.50. How many of each coin are there?
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Question 389465: A bag contains nickles and quaters. There are 6 more nickles than quaters. Te total value of the coins is $4.50. How many of each coin are there? Answer by gwendolyn(128) (Show Source):
You can put this solution on YOUR website! Let N be the number of nickles
Let Q be the number of quarters
There are 6 more nickles than quarters, so
N = Q + 6
The total value of coins is $4.50, (450 cents) so:
5*N + 25*Q = 450
Substitute the value of N from the first equation into the second:
5*(Q + 6) + 25*Q = 450
Distribute the 5 on the right hand side:
5*Q + 30 + 25*Q = 450
30*Q + 30 = 450
Subtract 30 from each side:
30*Q + 30 - 30 = 450 - 30
30*Q = 420
Divide each side by 30:
Q = 14
And substituting back into the first equation:
N = Q + 6
N = 14 + 6
N = 20
