Environment 62874

Women and children have free entry to the Slavia Prague Cup football match in their home environment. The entry fee for men is CZK 85. The ratio of men, women, and children is 12:3:2. A total of CZK 431,460 was collected for tickets. Determine the total number of visitors at a football match.

Correct answer:

x =  7191

Step-by-step explanation:

$$\begin{gathered} 85\cdot m=431460 \\ 85m=431460 \\ m=\frac{431460}{85}=5076 \\ m=5076 \\ m:z:d=12:3:2 \\ m+z+d=x \\ m=\frac{12}{12+3+2}\cdot x \\ x=m\cdot \frac{12+3+2}{12}=5076\cdot \frac{12+3+2}{12}=7191 \\ \text{ Verifying Solution: } \\ z=\frac{3}{12}\cdot m=\frac{3}{12}\cdot 5076=\frac{3\cdot 5076}{12}=\frac{15228}{12}=1269 \\ d=\frac{2}{12}\cdot m=\frac{2}{12}\cdot 5076=\frac{2\cdot 5076}{12}=\frac{10152}{12}=846 \\ {x}_1=m+z+d=5076+1269+846=7191 \end{gathered}$$

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