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Please explain in detail. For each problem begin by creating a diagram to repres

ID: 1167768 • Letter: P

Question

Please explain in detail. For each problem begin by creating a diagram to represent the situation. This should include a simple shape (cg.. rectangle) to define a system of interest, arrows for inputs & outputs, numbers with units from the problem statement for quantities or flows and symbols (letters of your choice) to stand for unknown quantities or flows. Note that quantities which arc known as a moment in time, but which are changing should be shown on the diagram as symbols to make it clear that they are not constant. Some problems are best solved using a spreadsheet to create tables. 2.) (Adapted from Glover, Lunsford, and Fleming)] A baseball stadium can hold a maximum of 55,000 spectators. Before the gates open. there arc only 200 stadium personnel in the stadium. When the gates open. there are 500 times more spectators than media personnel that enter the stadium. There are 50 baseball players that enter the stadium. During the game. one-fourth of the spectators leave. There are 30.000 spectators at the end of the game. No players, stadium personnel, or media personnel leave during the game. Using the accounting principle, calculate the total number of people in the stadium at the end of the game [hint: if you define variables for some of the quantities involved in the problem you can translate the word relationships into equations among these variables.]

Explanation / Answer

Ans:

Thre are 30,000 spectators at the end of the game.

There are also 200 personnel and 50 players who didn't leave.

To find the numer of media personnel:
30,000/.75 = 40,000 (number before one-fourth left)

40,000/500 = 80 media personnel (since there were 500 more spectators than media personnel.

THe media personnel didn't leave

at the end of the game:
30,000 + 200 + 50 + 80 = 30,330

answer: 30,330