SOLUTION: Hello! Okay, so I'm not positive that I put this problem in the correct place, but because it was called "Finance", I assumed it to be the best option because this word problem con

Question 698640: Hello! Okay, so I'm not positive that I put this problem in the correct place, but because it was called "Finance", I assumed it to be the best option because this word problem contains coins and money sums.
The word problem:
"Jane has six more nickels than quarters and two fewer dimes than nickels. If she has a total of $2.70, how many of each type of coin does she have?"
Thank you for your help! I just wasn't sure how to solve this one because I think I'm supposed to set up a chart maybe (If you could help me with that too, that would be great!), but I'm just not sure how to go about solving it. Thank you very much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jane has six more nickels than quarters and two fewer dimes than nickels. If she has a total of $2.70, how many of each type of coin does she have?"
---------------
Equations:
5n + 10d + 25q = 270 cents
------
n = q+6
d = n-2
-----
Substitute for "q" and for "d" and solve for "n":
5n + 10(n-2) + 25(n-6) = 270
5n + 10n-20 + 25n-150 = 270
40n -170 = 270
40n = 440
n = 11 (# of nickels)
---
d = n-2 = 9 (# of dimes)
---
q = n-6 = 5 (# of quarters)
================================
cheers,
Stan H.
=================

RELATED QUESTIONS
Hello, I have come across an equation in my algebra that I cannot get the correct answer... (answered by rothauserc)

How do I find the sum of the first 100 positive integers? I tried doing {{{... (answered by ewatrrr)

Hello. I am not positive I put in the right topic. We are learning complex algebraic... (answered by ankor@dixie-net.com)

Okay, I am in a basic math class at the Art Institute online. I do not want the answer... (answered by Alan3354)

Hello. My problem is {{{i^-3}}}. I put it in my calculator, and it said it was i, and I (answered by robertb)

Hey I need help on this one problem so basically I have to right in the domain for 2... (answered by josgarithmetic)

okay so tomorrow i have a math test and two questions are over maximizing an objective... (answered by KMST)

Okay, I don't want the answer, I just want to know how to set up the problem. Or maybe... (answered by Earlsdon)

Not sure whether I placed this question in the correct category- Hello, could you help... (answered by Theo,solver91311)