Question 930381
x = pounds of peanuts
y = pounds of fruit
z = pounds of cashews
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"one ingredient must have twice the weight of other two" ...
arbitrarily choose the weight of peanuts to be twice the sum of the weights of fruit and cashews:
x = 2(y + z)
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sum of weights:
x + y + z = 140
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sum of costs:
arbitrarily choose costs to reflect the actual market prices of these items:
...
peanuts = $1/lb
fruit = $2/lb
cashews = $20/lb
...
1x + 2y + 20z = 6*140
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put the system of linear equations into standard form
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x = 2y + 2z
x + y + z = 140
1x + 2y + 20z = 840
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x - 2y - 2z = 0
x + y + z = 140
1x + 2y + 20z = 840
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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 = pounds of peanuts = 93.333333
y = pounds of fruit = 10.37037
z = pounds of cashews = 36.296296
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check:
2*(10.37037 + 36.296296) = 93.33333
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