Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 3.7, Problem 10P

To determine

To calculate the amount that an employee pays for a ticket.

Expert Solution & Answer

Answer to Problem 10P

$10

Explanation of Solution

Given:

Number of tickets bought is 80.

20 tickets sold at actual price

Remaining tickets sold at half price

Total loss is $1000.

Calculation:

Let x be the original price of a ticket and the price of tickets sold to the employees is x2 .

Cost of 80 tickets is 80x .

Number of tickets sold in the original price is 20.

Number of tickets sold for half the price is 80 − 20 = 60.

Therefore, the price of the tickets sold to the employees at half the price is 60(12)x .

Total cost − total cost collected = Total loss

80x−60(12)x=100080x−30x=100050x=1000x=20

Therefore, the price sold to the employees is x2=202=10

Conclusion:

Therefore, the employees pay $10 for the ticket to the jazz concert.

Chapter 3.7, Problem 9P

Chapter 3.7, Problem 11P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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