Explanation Given: Data of gatherings and net collections. There was a gathering of net 7000 fans and revenue was $26400. Further, box seat, grandstand seat and bleacher seat’s costs are $6, $4 and $2. Further, the constraint is that tickets sold for box seats are one-third of the bleacher seats. Calculation: Consider the x, y, z represents the box seats, grandstand seats and bleacher seats tickets sold respectively. The total gathering of net fans is 7000, thus the equation is, x + y + z = 7000 Further, consider a box seat, grandstand seat and bleacher seat’s costs are $6, $4 and $2 and revenue was $26400. 6 x + 4 y + 2 z = 26400 Consider the tickets sold for box seats are one-third of the bleacher seats, thus the equation is, x − 1 3 z = 0 Consider the system of equations obtained. x + y + z = 7000 6 x + 4 y + 2 z = 26400 x − 1 3 z = 0 Form the augmented matrix and transform into row echelon form to solve the equation. [ 1 1 1 7000 6 4 2 26400 1 0 − 1 3 0 ] [ 1 1 1 7000 0 − 2 − 4 − 15600 1 0 − 1 3 0 ] R 2 → R 2 − 6 R 1 [ 1 1 1 7000 0 − 2 − 4 − 15600 0 − 1 − 4 3 − 7000 ] R

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ISBN: 9780135240687

Author: Lial

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Chapter 6.3, Problem 16E

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To Calculate: The Number of tickets sold for match of the box seats, grandstand seats, and bleacher seat tickets.

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Chapter 6.3, Problem 19E

Chapter 6.3, Problem 17E

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The Number of tickets sold for match of the box seats, grandstand seats, and bleacher seat tickets.

Solution Summary: The author calculates the number of tickets sold for box, grandstand, and bleacher seats, based on data of gatherings and net collections.

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To Calculate: The Number of tickets sold for match of the box seats, grandstand seats, and bleacher seat tickets.

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