A chemist wishes to mix a 30% acid solution with a 60% acid solution to obtain 60 quarts of a 39% acid solution. How many quarts of each solution should be mixed together?
A) 42 quarts of 30% solution 18 quarts of $60 \%$ solution
B) $36$ quarts of $30 \%$ solution $24$ quarts of $60 \%$ solution
C) $24$ quarts of $30 \%$ solution $36$ quarts of $60 \%$ solution
D) $30$ quarts of $30 \%$ solution $30$ quarts of $60 \%$ solution
E) $18$ quarts of $30 \%$ solution $42$ quarts of $60 \%$ solution

Question

Quizplus · Accepted Answer

Let x be the number of quarts of 30% solution and y be the number of quarts of 60% solution.We have the following system of equations:x + y = 60 (total volume)0.3x + 0.6y = 0.39(60) (total amount of acid)Solving this system of equations gives x = 42 and y = 18.Therefore, the chemist should mix 42 quarts of 30% solution with 18 quarts of 60% solution.

A Chemist Wishes to Mix a 30% Acid Solution with a 60