1 can OJ is 15% 1 can is 10% how many liters of each should be mixed together to get 5 liters at 13%

There will be X cans of 15% (juice content), and

Y = 5 - X cans of 10%.
0.15X + 0.10(5-X) = 0.13*5 = 0.65
0.05X = 0.65 - 0.50 = 0.15
X = 3 liters
Y = 5-3 = 2 liters.