SOLUTION: 64 votes were cast for homecoming queen. Barbara received 1/4 of the votes. Hannah got as many votes as Julie and Donna put together. Donna got 1/3 as many votes as Julie. How many

Question 927011: 64 votes were cast for homecoming queen. Barbara received 1/4 of the votes. Hannah got as many votes as Julie and Donna put together. Donna got 1/3 as many votes as Julie. How many votes did Julie get?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = votes for barbara
y = votes for hannah
z = votes for julie
u = votes for donna
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x + y + z + u = 64
x = 64/4
y = z + u
u = z/3
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put the system of linear equations into standard form
---
x + y + z + u = 64
x = 16
y - z - u = 0
z - 3u = 0
---
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 = votes for barbara = 16
y = votes for hannah = 24
z = votes for julie = 18
u = votes for donna = 6
---
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
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