SOLUTION: Valerie starts a mail order custom coffee shop. She buys variety "A" at 32 cents an ounce and "B" at 40 cents an ounce. She blends them and sells the mix at 43 cents an ounce giv

Question 925292: Valerie starts a mail order custom coffee shop. She buys variety "A" at 32 cents an ounce and "B" at 40 cents an ounce. She blends them and sells the mix at 43 cents an ounce giving her a profit of 25%. What's the mix in a box of 100 ounces of blend?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
c = final mix cost
r = final mix retail price
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profit percentage = (r-c)/c
0.25 = (43-c)/c
0.25 = 43/c - 1
1.25 = 43/c
c = 43/1.25
c = 34.40
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x = ounces of A
y = ounces of B
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32x + 40y = 34.40(x + y)
x + y = 100
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32x + 40y = 34.40(100)
32x + 40y = 3440
x + y = 100
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put the system of linear equations into standard form
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32x + 40y = 3440
x + y = 100
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = ounces of A = 70
y = ounces of B = 30
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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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