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 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% 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 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt.
a + b = 80
0.45a + 0.95b = 0.65*80
by solving the above system of equations we find
a = 48 oz
b = 32 oz
click here to see the step by step solution of the system of equations
She should use 48 oz of solution A and 32 oz of solution B.