Problema Solution
A chemist needs 130 milliliters of 69% solution but only 65% and 78% solutions available. Find how many militiers of each that should be mixed to get the desired solution
Answer provided by our tutors
let
x = milliliters of 65% solution
y = milliliters of 78% solution
by mixing x and y we need to obtain 130 milliliters of 69% solution
x + y = 130
65% of x + 78% of y = 69% of 130
0.65*x + 0.78*y = 0.69*130
by solving the system of equation
x + y = 130
0.65*x + 0.78*y = 0.69*130
we find
x = 90 ml
y = 40 ml
we need 90 ml of 65% solution and 40 ml of 78% solution.