SOLUTION: 14 coins, total $2.20. 5 more quarters than dimes. 3 less dimes than nickels. How many of each coin?

Question 928641: 14 coins, total $2.20. 5 more quarters than dimes. 3 less dimes than nickels. How many of each coin?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = number of nickels
y = number of dimes
z = number of quarters
---
x + y + z = 14
z = y + 5
y = x - 3
---
put the system of linear equations into standard form
---
x + y + z = 14
y - z = -5
x - y = 3
---
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 = 5
y = 2
z = 7
---
check:
5x + 10y + 25z = 220
---
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
I have 3 more quarters than dimes, and 2 less nickels than dimes for a total of $3.45.... (answered by CubeyThePenguin)

He has 14 coins he has one more dime than quarters & 3 more nickels than dimes. How many (answered by ewatrrr)

Max has 14 coins consisting of nickels, dimes, and quarters. The total value of the coins (answered by josgarithmetic)

Jenna's pockets were heavy with coins. She had three times as many dimes as quarters, and (answered by CubeyThePenguin)

Saul paid a bill of $4.60 with nickels, dimes, and quarters. The # of nickels was 3 less... (answered by JulietG)

Kelly has a collection of nickels, dimes and quarters with a total value of $10.40... (answered by ikleyn)

2. In a bag of coins, there were 3 less nickels than pennies, two-thirds as many dimes as (answered by lynnlo)

The coin jar contained 20 more nickels than dimes. The total value of the nickels and... (answered by ewatrrr)

A jar contains nickels, dimes, and quarters. There are 105 coins with a total value of... (answered by josmiceli)