Two dump trucks have capacities of 10 tons and 12 tons. they make a total of 20 round trips to haul 226 tons of topsoil to be used to landscape a new development. how many round trips did each truck make?

We will define the following variables to solve the problem:

x = amount of round trips from 10 tons truck

y = amount of round trips from 12 tons truck

We write the system of equations:

x + y = 20

10x + 12y = 226

The solution to the system of equations is:

x = 7

y = 13

Answer:

10 tons truck makes 7 round trips

12 tons truck makes 13 round trips