How many ounces of a 13 alcohol solution and a 42 alcohol solution must be combined to obtain 58 ounces of a 15 solution?

To solve this problem, let ( x ) be the ounces of the 13% alcohol solution and ( y ) be the ounces of the 42% alcohol solution. We have two equations:

1. ( x + y = 58 ) (total volume)
2. ( 0.13x + 0.42y = 0.15(58) ) (total alcohol content)

Solving these equations, we find ( x = 24 ) ounces of the 13% solution and ( y = 34 ) ounces of the 42% solution.