SOLUTION: I have 3 more quarters than dimes, and 2 less nickels than dimes for a total of $3.45. How many coins of each type do I have?

Question 981897: I have 3 more quarters than dimes, and 2 less nickels than dimes for a total of $3.45. How many coins of each type do I have?
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters

5n + 10d + 25q = 345
q = d + 3
n = d - 2

Write the equation in terms of d.

5(d - 2) + 10d + 25(d + 3) = 345
5d - 10 + 10d + 25d + 75 = 345
40d + 65 = 345
40d = 280
d = 7

There are 5 nickels, 7 dimes, and 10 quarters.
RELATED QUESTIONS
Saul paid a bill of $4.60 with nickels, dimes, and quarters. The # of nickels was 3 less... (answered by JulietG)

I have $6.40. I have 2 more quarters than dimes, but 4 times as many nickels as quarters. (answered by ewatrrr)

I have 4 times as many dimes as I do quarters. I have 3 times as many nickels as I do... (answered by josgarithmetic)

14 coins, total $2.20. 5 more quarters than dimes. 3 less dimes than nickels. How many of (answered by TimothyLamb)

Mike has 19 coins (Nickels, Dimes and quarters) in his piggy bank with a total value of... (answered by oscargut,jojo14344)

My piggy bank has 28 coins in it that are only nickels, dimes, and quarters. I have... (answered by Alan3354,ikleyn)

Sam found a number of nickels, dimes and quarters. He found 3 more dimes than nickels but (answered by ankor@dixie-net.com)

I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes (answered by mananth)

I have 26 coins, worth $3.45, comprised of nickels, dimes, and quarters. The total number (answered by lwsshak3)