Double Whammy.
You have a nine gallon jug, a five gallon jug, and a fifty gallon tank. You have a limitless supply of water. Pour precisely forty-seven gallons of water into the tank.
Maybe there's some limit I'm not seeing, but can't you just fill and dump out the 9 gallon jug 3 times, and the 5 gallon jug 4 times?
Machines A, B, and C produce ball bearings. Two machines produce one oz. bearings, but one is malfunctioning and producing 1.1 oz. bearings. You may weigh any combination of any number of bearings from any machine, ONCE. Which machine is malfunctioning?
Weigh 10 bearings from A, and 1 from B, at the same time. If it's 12 ounces, A is the problem, if it's 11.1 ounces, B is the problem, if it's 11 ounces, C is the problem.
