SOLUTION: If you have 34 coins, all nickels, dimes and quarters worth of $5.45. The number of quarters is equal to the combined number of nickels and dimes. How many of each are there?

Algebra.Com
Question 821437: If you have 34 coins, all nickels, dimes and quarters worth of $5.45. The number of quarters is equal to the combined number of nickels and dimes. How many of each are there?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
---
x + y + z = 34
5x + 10y + 25z = 545
z = x + y
---
put the system of linear equations into standard form
---
x + y + z = 34
5x + 10y + 25z = 545
x + y - z = 0
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer:
x= nickels = 10
y= dimes = 7
z= quarters = 17
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

RELATED QUESTIONS

Kim has $1.65 in nickels, dimes and quarters. She has 10 coins all together and the... (answered by jorel1380)
Why is the answer to this question equal 25q + 10q + 30 + 5q + 10 = 200: A collection of (answered by TimothyLamb)
I have 26 coins, worth $3.45, comprised of nickels, dimes, and quarters. The total number (answered by lwsshak3)
Jennifer has 15 coins worth a total of $1.45. All of the coins are nickels, dimes, or... (answered by josmiceli)
Hi, I've tried this problem many many times but still cannot figure it out. Please help... (answered by jorel1380)
A pile of 34 coins is worth $5.10. There are two nickels and the remainder are quarters... (answered by advanced_Learner)
5.00 $ in coins, there are only quarters nickels and dimes. The number of dimes is equal... (answered by Fombitz)
A payphone is hold its maximum number of 500 coins consisting of nickels, dimes, and... (answered by rothauserc,addingup,Alan3354)
SOLVE USING DETERMINANTS and CRAMER'S RULE A coin collector has 41 coins consisting of (answered by pjalgeb)