Question 1203315
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Answers:  
<font color=red size=4>35 pints</font> of the 20% drink
<font color=red size=4>15 pints</font> of the 70% drink


Work Shown


x = amount of the 20% juice (1st batch)
50-x = amount of the 70% juice (2nd batch)
Each amount is in pints.
These two expressions add to 50 pints total.


0.2x = amount of pure fruit from the 1st batch
0.7(50-x) = 35-0.7x = amount of pure fruit from the 2nd batch


batch1+batch2 = (0.2x) + (35-0.7x) = 35-0.5x = total amount of pure fruit


The goal is to make a 35% fruit drink, and the company wants 50 pints.
Therefore, the company requires 0.35*50 = 17.5 pints of pure fruit.
This leads us to the equation
35-0.5x = 17.5


Let's solve for x
35-0.5x = 17.5
-0.5x = 17.5-35
-0.5x = -17.5
x = -17.5/(-0.5)
x = 35
We'll need <font color=red>35 pints</font> of the 20% batch.


Also we'll need <font color=red>15 pints</font> of the 70% batch because 50-x = 50-35 = 15.
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