Question

A stadium has 52,000 seats. Seats sell for ​$30 in Section​ A, ​$24 in Section​ B, and ​$18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in ​$1,336,800.00 from each​ sold-out event. How many seats does each section​ hold?

Answer 1

`We\: a\: system\: of\: equations:\\\begin{cases}A+B+C=52000\\A-B-C=0\\30A+24B+18C=1336800\end{cases} \\ \Leftrightarrow \begin{cases} A=26000\\B=14800\\C=11200\end{cases} \\ There\: are\: 26000\: seats\: in\: section\: A, 14800\: seats\: in\: section\: B,11200\: seats\: in\: section\: C.</p><p>`