Participating 33071

Of the 150 children participating in the ski course, 20 were excellent skiers, 35 were good, 40 were average, and the rest were beginners. Calculate what percentage each skier represents.

Correct answer:

p₁ =  13.3333 %
p₂ =  23.3333 %
p₃ =  26.6667 %
p₄ =  36.6667 %

Step-by-step explanation:

$$\begin{gathered} n=150 \\ {p}_1=100\cdot \frac{20}{n}=100\cdot \frac{20}{150}=\frac{100\cdot 20}{150}=\frac{2000}{150}=\frac{40}{3}\%=13.3333\% \end{gathered}$$

$p_2=100\cdot \frac{35}{n}=100\cdot \frac{35}{150}=\frac{100\cdot 35}{150}=\frac{3500}{150}=\frac{70}{3}\%=23.3333\%$

$p_3=100\cdot \frac{40}{n}=100\cdot \frac{40}{150}=\frac{100\cdot 40}{150}=\frac{4000}{150}=\frac{80}{3}\%=26.6667\%$

$p_4=100-p_1-p_2-p_3=100-\frac{40}{3}-\frac{70}{3}-\frac{80}{3}=36.6667\%$

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