A scientist has two solutions, knows that Solution A is 40% salt and Solution B is 65% salt. She wants to obtain 130 ounces of a mixture that is 60% salt.

Question

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40%

 salt and Solution B is 65%

salt. She wants to obtain 130

 ounces of a mixture that is 60%

 salt. How many ounces of each solution should she use? 

Answer 1

Let x = amount of 40% solution

Let y = amount of 65% solution

Then

x + y + 130 And using a weighted average for the solution, we have..

(40*x + 65*y)/(x + y) = 60

Solve simultaneously to obtain x = 26 & y = 104.