Let's call the amount of yards he needs to mown as 'y'. The total value of the car is $4025, since he already have $275 from his father, the rest of the money will be the difference between those values. The rest of the money, he plans to gain by working at a rate of $50 per yard. Writing all of those informations as an equation, we get:

To find the amount of yards he needs to mow, we just have to solve this equation for 'y':

He needs to mow 75 yards to buy the car.