Problema Solution

Gabe, a nuclear physicist, needs 30 liters of a 60% acid solution. He currently has a 40% solution and a 70% solution. How many liters of each does he need to make the needed 30 liters of 60% acid solution?

Answer provided by our tutors

let


x = the liters of 40% acid solution

y = the liters of 70% acid solution


the mix of x and y is 30 liters of a 60% acid solution


x + y = 30

0.40x + 0.70y = 0.60*30


by solving the above system of equations we find


x = 10 L


y = 20 L


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Gabe needs 10 liters of 40% acid solution and 20 liters of 70% acid solution.