Question 12568
You can write the equation as follow:  Change percent to decimals: 46% = 0.46, 56% = 0.56, 47% = 0.47 Let x = the number of liters 46% alcohol solution.

{{{x(0.46) + (40-x)(0.56) = 40(0.47)}}}

{{{0.46x + 22.4 - 0.56x = 18.8}}} Solve for x.

{{{-0.1x + 22.4 = 18.8}}}

{{{-0.1x = - 3.6}}}

{{{x = 36}}}

You would need 36 liters of 47% alcohol solution.