Problema Solution
Marie plans to mix a solution that is 15% pixie dust with a solution that is 33% pixie dust to get 60 gallons of a solution that is 21% pixie dust. How much of each solution should she use?
Answer provided by our tutors
let
x = gallons of 15% solution
y = gallons of 33% solution
by mixing x and y we need to obtain 60 gallons of a solution that is 21% pixie dust
x + y = 60
15% of x + 33% of y = 21% of 60
0.15*x + 0.33*y = 0.21*60
by solving the system of equation
x + y = 60
0.15*x + 0.33*y = 0.21*60
we find
x = 40 gallons
y = 20 gallons
we need 40 gallons of 15% pixie dust solution and 20 gallons of 33% pixie dust solution.