SOLUTION: A drink sells small, medium and large cups of fruit drink for $1.50, $2.00 & $2.50. In one morning, three times as many medium cups were sold as small cups, and the number of large

Question 827381: A drink sells small, medium and large cups of fruit drink for $1.50, $2.00 & $2.50. In one morning, three times as many medium cups were sold as small cups, and the number of large cups sold was 140 less than the number of medium cups. If the total of the drink sales were $1360, how many of each size cup were sold?
THANKKS :D
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = small
y = medium
z = large
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y = 3x
z = y - 140
1.5x + 2y + 2.5z = 1360
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put the system of linear equations into standard form:
---
3x - y = 0
y - z = 140
1.5x + 2y + 2.5z = 1360
---
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 = small = 114
y = medium = 342
z = large = 202
---
system matrix
3 -1 0
0 1 -1
1.5 2 2.5
---
inverse of system matrix
0.3 0.16666667 0.066666667
-0.1 0.5 0.2
-0.1 -0.5 0.2
---
determinant of system matrix = 15
---
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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