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?

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
RELATED QUESTIONS
Julie's purse contains 34 coins consisting of nickels and Quaters worth a total of 5.90... (answered by Edwin McCravy)

there is three more quaters than dimes but twice as many nickles as quaters the total is... (answered by scott8148)

a collection of nickles and quarters contains 25 coins. if there are 3 more nickles than... (answered by TimothyLamb)

a box contains $7.15 in nickels, dimes, and quaters,. There are 42 coins in all and the... (answered by josgarithmetic,MathTherapy)

using only quaters dimes and nickles how many different ways are there to make a total of (answered by Edwin McCravy)

a donation box contains 30 coins consisting of nickels, dimes, and quaters. the number of (answered by Edwin McCravy)

how many nickles and quaters are in 5.80 if there are 60... (answered by vleith,unlockmath)

Jo as 37 coins(all nickles, dimes, and quarters) worth $5.50. She has 4 more quaters than (answered by stanbon)

If a bag of coins contains 400 coins and 33 1/3% are nickles how many nickles are there (answered by math_helper)