SOLUTION: On the first day of a recent coin drive, Mr.Li's AP class collected a total of 17.90. When he looked in the box, he found only quarters, dimes, and nickels. If there were 1/2 as ma

Question 829803: On the first day of a recent coin drive, Mr.Li's AP class collected a total of 17.90. When he looked in the box, he found only quarters, dimes, and nickels. If there were 1/2 as many nickels as quarters, and 10 more dimes than nickels, how many of each coin did Mr. Li's class collect?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x = nickels
y = dimes
z = quarters
---
5x + 10y + 25z = 1790
x = 0.5z
y = x + 10
---
put the system of linear equations into standard form:
---
5x + 10y + 25z = 1790
x - 0.5z = 0
x - y = -10
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = nickels = 26
y = dimes = 36
z = quarters = 52
---
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
Mr. Howard's first period class of 40 students averaged 96% on a recent test. His second (answered by mananth)

Corey collected 4 pounds of newspaper on day 1. Each day after day 1, he collected 4... (answered by richwmiller)

Corey collected 4 pounds of newspaper on day 1. Each day after day 1, he collected 4... (answered by josmiceli)

Corey collected 4 pounds of newspaper on day 1. Each day after day 1, he collected 4... (answered by richwmiller)

gary has a daily allowance of 150.00.he spends 90% o it each day and saves the rest o the (answered by Fombitz)

Josh started a new job. On his first day, he makes $20. On his third day, he makes $12.... (answered by ikleyn,josgarithmetic)

I havne't taken an algebra class in over twenty years and need help solving two problem: (answered by checkley79)

Otis Taylor has a box of coins that he uses when playing poker with his friends. The box (answered by stanbon,checkley71)