Problema Solution
6L of a 13% acid solution is needed for an experiment. To create this, a scientist must mix a 18% solution with a 10% solution. To the nearest liter, how much of the 10% solution is needed.
Answer provided by our tutors
let 'x' represent the amount of 18% solution, then '6-x' represents the amount of 10% solution
18% is represented as the decimal 0.18
10% is represented as the decimal 0.10
13% is represented as the decimal 0.13
6*0.13 = 0.18x+0.10(6-x)
x=2.25
6-2.25 = 3.75
To the nearest liter, 3.75 rounds to 4 and therefore roughly 4L of 10% solution would be required.