A construction company used up 7 and a half tons of cement on one project and 9 and three-quarters tons on another project. How many tons of cement did they use in total?

To find the total tons of cement used, we need to add the amount used on each project.

First, let's add the 7 and a half tons used on the first project and the 9 and three-quarters tons used on the second project:

7.5 + 9.75 = 17.25

Therefore, the construction company used a total of 17 and a quarter tons of cement.