Problema Solution
You need to create a 500mL solution containing 0.4mg/L of medicine. On hand you have solutions containing 0.1mg/L and 0.75mg/L. What quantities of each should be used
Answer provided by our tutors
1 L = 1000 mL
0.5 L = 500 mL
let
x = L of the solution containing 0.1 mg/L medicine
y = L of the solution containing 0.75 mg/L medicine
you need to create a 500mL solution containing 0.4mg/L of medicine
x + y = 0.5
0.1x + 0.75y = 0.4*0.5
by solving the system of equations we find
x = 0.2692 L
x = 269.2 mL
y = 0.2308 L
y = 230.8 mL
click here to see the step by step solution of the system of equations
269.2 mL of the 0.1 mg/L and 230.8 mL of the 0.75 mg/L should be used.