Let’s designate the amount of kg of 100% acid for x.
The amount of acid in 50 kg of an 80% solution is 50 * 0.8 (kg).
The amount of acid in x kg of a 100% solution is x * 1 (kg).
The amount of acid in the resulting 95% solution is 0.95 * (50 + x).
Let’s make the equation: 50 * 0.8 + x * 1 = 0.95 * (50 + x).
We solve this equation.
40 + x = 47.5 + 0.95x;
x – 0.95x = 47.5 – 40;
0.05x = 7.5;
x = 150 (kg).
Answer: you need 150 kg of 100% solution.
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