For a chemistry experiment Laura needs 300 ml of a 15% sulphuric acid solution. The Science Department has quantities of 5% acid solution and 20% acid solution. What volume of each solution is required to mix together to get her required concentration?
We have this equation :
.05(x) + .20(300-x) = .15(300) simplify
.05x + 60 - .20x = 45 combine like terms
-.15x 60 = 45 subtract 60 from both sides
-.15x = -15 divide both sides by .15
x = 100 ml = the amount of 5% solution
300 - x = 300 - 100 = 200ml = amount of 20% solution