Question

ABLE Trucking Company has a job moving 21 tons of sand. The company has 8 drivers in the company and 2 types of trucks. One type of truck can haul 5 tons of sand and the other type of truck can haul 3 tons. Insurance requirements make it necessary for trucks hauling 5 tons of sand to have two drivers in the cab during the operation. Three ton trucks require only one driver. Using all available drivers, how many trucks of each size will be needed to move the sand in one trip?

Answer 1

You need 3 trucks of sand that hold 5 tons and 2 trucks that hold 3 tons to move all the sand in one trip

Answer 2

Well you need three trucks that can pull 5 tons of sand each; that gives us 15 tons total taken care of so far, and 2 drivers left.
The last two drivers drive two trucks that pull 3 tons of sand each; giving us a total of 21 tons and zero drivers left.
Hope this helps!