To determine The number of adults, teenagers, and preteens attended. Explanation Given: Tickets to a band concert cost $ 5 for adults, $ 3 for teenagers, and $ 2 for preteens. The total number of people at the concert is 570 and the total ticket receipts are $ 1950 . Three-fourths as many teenagers as preteens attended Explanation: Consider x number of adults, y number of teenagers and z number of preteens attended the concert. As the total number of people at the concert is 570 hence, x + y + z = 570 … … ( 1 ) As tickets to a band concert cost $ 5 for adults, $ 3 for teenagers, and $ 2 for preteens and the total ticket receipts are $ 1950 hence, 5 x + 3 y + 2 z = 1950 … … ( 2 ) As Three-fourths as many teenagers as preteens attended hence, y = 3 4 z That is 4 y − 3 z = 0 … … ( 3 ) Therefore, the system of equation ( 1 ) ( 2 ) and ( 3 ) can be written as in the matrix form as: [ 1 1 1 5 3 2 0 4 − 3 ] [ x y z ] = [ 570 1950 0 ] Therefore, the corresponding augmented matrix is: A ¯ = [ 1 1 1 570 5 3 2 1950 0 4 − 3

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 6.3, Problem 7E

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The number of adults, teenagers, and preteens attended.

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Chapter 6.3, Problem 6E

Chapter 6.3, Problem 8E

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Chapter 6 Solutions

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

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