Problema Solution
A 10% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 120 gallons of a 50% solution. How many gallons of the 10% solution and 70% and 70% solution should be mixed?
Answer provided by our tutors
let
x = gallons of 10% solution of fertilizer
y = gallons of 70% solution of fertilizer
we need to get 120 gallons of a 50% solution
x + y = 120
the % of fertilizer x + the % of fertilizer in y = 50% of 120 gallons of fertilizer
0.10x + 0.70y = 0.50*120
by solving the system of equations
x + y = 120
0.10x + 0.70y = 0.50*120
we find
x = 40 ml
y = 80 ml
click here to see the step by step solution of the system of equations
we need to mix 40 gallons of 10% solution of fertilizer and 120 gallons of 70% solution of fertilizer.