SOLUTION: How much orange juice at 42 cents a liter should be mixed with grapefruit juice worth 32 cents a liter to make 200 liters of a mixture worth 36 cents a liter?

Question 93360: How much orange juice at 42 cents a liter should be mixed with grapefruit juice worth 32 cents a liter to make 200 liters of a mixture worth 36 cents a liter?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How much orange juice at 42 cents a liter should be mixed with grapefruit juice worth 32 cents a liter to make 200 liters of a mixture worth 36 cents a liter?
:
Let x = amt of orange juice to be mixed
:
It says the total will be 200 liters,
therefore:
(200-x) = amt of grapefruit juice to be mixed
:
A typical mixture equation:
42x + 32(200 - x) = 36(200)
:
42x + 6400 - 32x = 7200
42x - 32x = 7200 - 6400
10x = 800
x = 800/10
x = 80 liters of orange juice
:
That would make the g.f juice amt: 200 - 80 = 120 liters
:
Check our solution of x = 80:
42(80) + 32(120) = 36(200)
3360 + 3840 = 7200
:
Did I make this understandable?
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