Jackie has two solutions that are 2 percent sulfuric acid and…
We can begin by defining two variables:
x = the number of liters of 2 percent solution
y = the number of liters of 12 percent solution
x + y = the total number of liters of the resulting solution
Since we are given that the 2 percent sulfuric acid solution and 12 percent sulfuric solution create a mixture with 5 percent sulfuric acid we can create the following equation.
0.02x + 0.12y = 0.05(x + y)
2x + 12y = 5x + 5y
7y = 3x
We also given that the total solution is 60 liters. Thus, we can create the following equation:
x + y = 60 or 7x + 7y = 420.
Since 7y = 3x, we can substitute 3x for 7y in the equation 7x + 7y = 420. Thus, we have:
7x + 3x = 420
10x = 420
x = 42