TASK DEFINITION: The task is to generate the correct answer for a given math problem.
PROBLEM: Problem: mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture .

SOLUTION: 10

PROBLEM: Problem: the average weight of a , b and c is 60 kg . if the average weight of a and b be 70 kg and that of b and c be 50 kg , then the weight of b is :

SOLUTION: 60 kg

PROBLEM: Problem: how many positive integer solutions does the equation 8 x + 2 y = 100 have ?

SOLUTION:
84