Problema Solution

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

90%

salt. She wants to obtain

170

ounces of a mixture that is

55%

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

Answer provided by our tutors

Let

a = oz of the solution A

b = oz of the solution B

She knows that solution A is 40% salt and solution B is 90% salt. She wants to obtain 170 ounces of a mixture that is 55% salt.

a + b = 170

0.40a + 0.90b = 0.55*170

........

click here to see the system of equations solved for a and b

........

a = 119 oz

b = 51 oz

She should use 119 ounces of solution A and 51 ounces of solution B.