An amusement 2

An amusement park sells child and adult tickets in a ratio of 8:1. On Sunday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Sunday?

Final Answer:

x =  189

Step-by-step explanation:

$$\begin{gathered} c:a=8:1 \\ c=8a \\ c=147+a \\ c=8\cdot a \\ 8a-c=0 \\ a-c=-147 \\ Row2-\frac{1}{8}\cdot Row1\to Row2 \\ -0.88c=-147 \\ c=\frac{-147}{-0.875}=168 \\ a=\frac{0+c}{8}=\frac{0+168}{8}=21 \\ a=21 \\ c=168 \\ x=c+a=168+21=189 \end{gathered}$$

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