Problema Solution
Hope wants to obtain 10 quarts of a solution that is 40% salt by mixing a solution that is 30% salt with another solution that is 70% salt. How much of each solution should she use in her mixture?
Answer provided by our tutors
let
x = quarts of the 30% salt solution
y = quarts of the 70% salt solution
she wants to mix x and y to obtain 10 quarts of a solution that is 40% salt
x + y = 10
the salt in x + the salt in y = the salt in x + y
0.30*x + 0.70*y = 0.40*10
by solving the system of equations
x + y = 10
0.30*x + 0.70*y = 0.40*10
we find
x = 7.5 quarts
y = 2.5 quarts
she should use 7.5 quarts of the 30% salt solution and 2.5 quarts of the 70% salt solution.