SOLUTION: a juice company sells apple juice for 13 cents an ounce and apple drink for 4 cents an ounce. they wish to market and sell for 10 cents an ounce cans of juice drink that are part j

Question 800835: a juice company sells apple juice for 13 cents an ounce and apple drink for 4 cents an ounce. they wish to market and sell for 10 cents an ounce cans of juice drink that are part juice and part drink. how many ounces of each will be used if the juice drink is to be sold in 8 ounce cans?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This is a mixture problem in which the concentration will be cents per ounce of juice mixture.

H = 13 cents per ounce, apple juice
T = 10 cents per ounce, drink mixture, target
L = 4 cents per ounce, apple drink
'
1 can of drink mixture to be 8 ounces size.
M = 8 ounce
Let x = ounces of the apple drink at L price
Let y = ounces of apple juice at H price

and

In the practical reality, the juice company needs to know how many of these 8 ounce cans will be planned for. Also, the quantity units should be fluid ounces because most likely the cans are packed by volume, and not by weight.

Solve the system for x and y.
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