The numbers of liters that is needed is 40 liters of 25% solution and 40 liters of 65% solution.
<h3>What is the litters about?</h3>
Note that:
We take x = volume of 25% solution.
We take y = volume of 65% solution.
So, Equation of total volume:
x + y = 80
Hence the equation of amount of acid:
0.25x + 0.65y = 0.45(80)
0.25x + 0.65y = 36
Solve x + y = 80 for x.
x = 80 - y
Then Substitute into the second equation.
0.25(80 - y) + 0.65y = 36
20 - 0.25y + 0.65y = 36
0.4y = 16
y = 40
x + y = 80
x + 40 = 80
x = 40
Therefore, The numbers of liters that is needed is 40 liters of 25% solution and 40 liters of 65% solution.
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