# Solve this problem: Transcribed Image Text: Josh wanted to buy a bike but didn’t have enough money. Sam Slick said, “I can fix that. Each

Solve this problem: Transcribed Image Text: 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 triple your money. There’s one small thing though. Each time I pay you, you must give me \$27 back for the privilege of
jumping.” Josh agreed, jumped the fence, received his payment from Sam Slick, and paid Sam \$27. Repeating the routine 1 more time, Josh was distressed to find that after Sam had made his payment to Josh, Josh had only \$27 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 3 times before running out of money. How much money did Josh start with this time?