Final answer:
To find the total number of students at Washington Junior High, use the equation \( \frac{3}{4} \times s = 510 \) and solve for \(s\) by multiplying 510 by the reciprocal of \( \frac{3}{4} \).
Step-by-step explanation:
To find the TOTAL number of students at Washington Junior High, we need to set up an equation that reflects that three-fourths of the students play sports. Given that 510 students play sports, we can represent the total number of students at the school as s. The equation to find s would be:
\( \frac{3}{4} \times s = 510 \)
To solve for s, multiply both sides of the equation by \( \frac{4}{3} \), which is the reciprocal of \( \frac{3}{4} \):
\( s = 510 \times \frac{4}{3} \)
By calculating this, we would find the total number of students at the school.