Mixed 30% and 50% acid solution and received a 45% solution.

Mixed 30% and 50% acid solution and received a 45% solution. find the ratio of the mass of the 30% to the mass of the 50% solution taken initially

We immediately introduce two variables to find the values of the ratio of the masses of solutions.

Let the mass of the first solution be m, the mass of the second solution n.

Based on the conditions of the problem, we will compose an equation in which we express the desired ratio:

0.3 * m + 0.5 * n = 0.45 * (m + n);

0.3 * m + 0.5 * n = 0.45 * m + 0.45 * n;

0.15 * m = 0.05 * n;

3 * m = n;

m / n = m / (3 * m) = 1/3 – the ratio of the mass of solutions.