Problema Solution
A fruit grower accidentally made a 5% strength chemical mixture to spray his grape vines. The strength of spray should be 8%. He then adds pure chemical until the strength reaches 8% by which time the volume is 350 litres. How much pure chemical did he have to add?
Answer provided by our tutors
let
x = liters of the pure chemical
y = liters of 5% strength chemical mixture
the volume is 350 liters
x + y = 350
the strength of spray should be 8%
0.05x + 1.00y = 0.08*350
by solving the system of equations
x + y = 350
0.05x + 1.00y = 0.08*350
we find
x = 338.95 L
y = 11.05 L
click here to see the step by step solution of the system of equations
he haa to add 11.05 liters of pure chemical.