Answered: the last jump, after Sam had made his…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, I'll double your money. There's one small thing though. Each time I pay you, you must give me

$24 back for the privilege of jumping." Josh agreed, jumped the fence, received his payment from Sam Slick, and paid Sam $24.

Repeating the routine 2 more times, Josh was distressed to find that, on the last jump, after Sam had made his payment to Josh, Josh had only

$24 with which to pay Sam and so had nothing left. Sam, of course, went merrily on his way, leaving Josh wishing that he had known a little more about mathematics.

(a) How much money did Josh have before he made his deal with Sam?

(b) Suppose the problem is the same, but this time Josh jumps the fence

4 times before running out of money. How much money did Josh start with this time?

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