A scientist has two solutions, which she has labeled Solution

Question

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 80%
salt. She wants to obtain 170 ounces of a mixture that is  60%
salt. How many ounces of each solution should she use?

Answer 1

If we use x ounces of 30% salt solution

we add 170-x ounces of 80% salt solution

The sum is 170 ounces of 60% salt solution

 

Look at the salt concentrations:

0.3x + 0.8(170-x) = 0.6(170)

 

Solve for x to find the ounces of 30% solution

then us 170-x to find the ounces of 80% solution