a and b are two partially filled buckets of water . if 4 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 4 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ?
"let bucket a be a and bucket b be b scenario 1 a - 4 = 1 / 3 ( b + 4 ) - - - - > 3 a - 12 = b + 4 scenario 2 b - 4 = 1 / 2 ( a + 4 ) - - - - - > 2 b - 8 = a + 4 from scenario 1 , b = 3 a - 16 substitute b with this information in stmt 2 2 ( 3 a - 16 ) - 8 = a + 4 - - - - - - > 6 a - 32 - 8 = a + 4 - - - - - - > 6 a - a = 40 + 4 - - - > 5 a = 44 a = 44 / 5 , answer choice a"
divide(multiply(add(add(4, const_3), const_2), divide(4, const_2)), add(const_2, divide(const_1, const_2)))