Sports class ratio

The sports class is attended by athletes, cyclists, and football players. The number of athletes to cyclists is in the ratio 3:5, football players to cyclists 1:3. How many athletes attend the class if 9 children are involved in athletics?

Final Answer:

x =  29

Step-by-step explanation:

$$\begin{gathered} a=9 \\ a:c=3:5 \\ c=5/3\cdot a=5/3\cdot 9=15 \\ f:c=1:3 \\ f=\frac{1}{3}\cdot c=\frac{1}{3}\cdot 15=\frac{1\cdot 15}{3}=\frac{15}{3}=5 \\ x=a+c+f=9+15+5=29 \end{gathered}$$

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