Problema Solution
making 1000 gals of anti freeze that is 48% alcohol and I have some antifreeze that is 40% alcohol and some that is 60% alcohol how much of each type of antifreeze should be used?
Answer provided by our tutors
let
x = the gals of 40% alcohol antifreeze
y= the gals of 60% alcohol antifreeze
making 1000 gals of anti freeze that is 48% alcohol
x + y = 1000
0.40x + 0.60y = 0.48*1000
by solving the system of equations
x + y = 1000
0.40x + 0.60y = 0.48*1000
we find
x = 600 gal
y = 400 gal
click here to see the step by step solution of the system of equations
we should use 600 galls of 40% alcohol antifreeze and 400 gals of 60% alcohol antifreeze.