2(8 4/5)+2(22/25)
2(44/5)+2(22/25)
2(220/25)+2(22/25)
(440/25)+(44/25)
484/25=P
They are both equal. 3% converted to a fraction is .3
Answer: choice A. 40 liters
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Explanation:
x = number of liters of the 50% alcohol solution
If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).
So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below
0.50*x + 36 = 0.70*(40+x)
0.50*x + 36 = 0.70*(40)+0.70*(x)
0.50*x + 36 = 28+0.70*x
36 - 28 = 0.70*x - 0.50x
8 = 0.20x
0.20x = 8
x = 8/0.20
x = 40
So that is why the answer is choice A. 40 liters
Well if we look at it this way, 12 divided by 4 equals 3 and 3 times 5 equals 15, so 1 cup divided in to four is one fourth cup. So your Answer is one fourth a cup.
ANSWER 1/4 Cup
