Final answer:
There are 420 students at the school.
Step-by-step explanation:
Let's let x represent the total number of students at the school. We're given that 35% of the students play at least one sport, so we can write the equation:
0.35x = 147
To solve for x, we divide both sides of the equation by 0.35:
x = 147 / 0.35
x = 420
Therefore, there are 420 students at the school.