Problema Solution
To create a breakfast beverage, cherry juice in two concentrations, 16% and 70%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 30 gallons of 16% juice is used, how many gallons of the 70% juice must be used to obtain a 60% cherry juice solution?
Answer provided by our tutors
Let 'x' represent the gallons of the 70% juice.
Thew new 60% cherry juice solution will be 30 + x gallons.
Now we can write the equation:
0.16*30 + 0.70*x = 0.60(30 + x)
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click here to see the equation solved for x
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x = 132 gal
132 gallons of the 70% juice should be used to make the 60% juice solution.