SOLUTION: If Derek has 2 times as many nickels as quarters and they have a combined value of 280 cents, how many of each coin does he have?

Algebra.Com
Question 924456: If Derek has 2 times as many nickels as quarters and they have a combined value of 280 cents, how many of each coin does he have?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = nickels
y = quarters
---
x = 2y
5x + 25y = 280
---
put the system of linear equations into standard form
---
x - 2y = 0
5x + 25y = 280
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = nickels = 16
y = quarters = 8
---
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

If Frank has 2 times as many nickels as quarters and they have a combined value of 210... (answered by ikleyn)
If Dakota has 4 times as many quarters as nickels and they have a combined value of 420... (answered by fractalier)
If Qasim has 4 times as many quarters as nickels and they have a combined value of 735... (answered by Theo,josgarithmetic,ikleyn)
If Brian has 2 times as many nickels as dimes and they have a combined value of 160... (answered by Alan3354)
If Rob has 2 times as many nickels as dimes and they have a combined value of 180 cents,... (answered by Alan3354)
If Noah has 2 times as many nickels as dimes and they have a combined value of 160 cents, (answered by Alan3354)
If Bill has 2 times as many quarters as dimes and they have a combined value of 480... (answered by addingup,ikleyn)
If Jesse has 2 times as many dimes as quarters and they have a combined value of 225... (answered by josgarithmetic,stanbon)
If Isaac has 4 times as many dimes as nickels and they have a combined value of 225... (answered by ikleyn)