Ascientist has two solutions, which she has labeled solution a and solution b. each contains salt. she knows that solution a is 70% salt and solution b is 95% salt. she wants to obtain 150 ounces of a mixture that is 75% salt. how many ounces of each solution should she use?

Solution A: 120 ounces

Solution B: 30 ounces

Step-by-step explanation:

Let's call A the amount of Solution A. Solution A is 70% salt

Let's call B the amount of Solution B. Solution A is 95% salt

The resulting mixture should have 75% salt and 150 ounces .

Then we know that the total amount of mixture will be:

Then the total amount of salt in the mixture will be:

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.95 and add it to the second equation:

                      +

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We substitute the value of A into one of the two equations and solve for B.

25

step-by-step explanation: