Question

24 athletes threw the shot put at a track and field meet. if this was \\(\frac{15}{100}\\) of all the athletes in the meet, how many athletes competed in the meet total?

Explanation:

Set up the algebraic equation

$$ \frac{15}{100} \cdot x = 24 $$

Solve for the total number of athletes

$$ x = 24 \cdot \frac{100}{15} $$

Calculate the final value

$$ x = 24 \cdot \frac{20}{3} = 8 \cdot 20 = 160 $$

Answer:

24 athletes threw the shot put at a track and field meet. If this was \(\frac{15}{100}\) of all the athletes in the meet, how many athletes competed in the meet total?

Answer: <blank>160</blank> athletes