Call the amount of sugar x tons
+ The first company charges 5500 to rent trucks plus an additional fee of 150.50 for each ton of sugar and we have spend: 5500+ 150.50x
+ The second company charges 4696 to run trucks plus an additional fee of 200.75 for each tun of sugar and we have spend: 4696+ 200.75x
We solve x for 5500+ 150.50x> 4696+ 200.75x
or 150.50x- 200.75x > 4696-5500
and - 50.25x > - 304
or x < 304:50.25= 6.049
So we have the answer
+ If we have at least 7 tons of sugar we choose the first company and if not we choose the second.