Problema Solution

What quantity of a 50% acid solution just be mixed with a 20% solution to produce 300mL of a 40% solution?

Answer provided by our tutors

let


x = mL of a 50% acid solution

y = mL of a 20% acid solution


x + y = 300


the % of acid in x + the % of acid in y = 40% acid in 300 mL


0.50x + 0.20y = 0.40*300


by solving the system of equations


x + y = 300

0.50x + 0.20y = 0.40*300


we find


x = 200 mL


y = 100 mL


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200 mL of 50% acid solution should be mixed with 100 mL of 20% acid solution.