The manager of a bulk food establishment sells a trail mix for $9 per pound and premium cashews for $13 per pound. The manager w
ishes to make 200 pounds of Trail Mix cashew mixture that will sell for $10 per pound. How many pounds of each should be used?
1 answer:
<em>Answer</em>
Pounds of trials =150
Pounds of cashews = 50
<em>Explanation</em>
Let x be the number of pounds sold for trials and
y be the number of pounds for cashews.
x + y = 200............................(i)
(9x + 13y)/(x+y) = 10
9x + 13y = 10(x+y)
9x + 13y = 10x + 10y
13y - 10y = 10x - 9x
x = 3y..................................(ii)
Substituting equation (ii) to equation (i).
x + y = 200
3y + y = 200
4y = 200
y= 50
x= 3(50)
x = 150
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