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eh mathod.com/student Player Homeworkaspx?homeworkl 432207922&question; 68eflushed false&cld; 451 yes MATH1350 E01 ONLINE SUMMER SESSION I 2017 Homework: Section 1.5 Homework HW Score: 57.14%, 8 of 14 p Score: 0 of 1 pt 4 6 of 14 (11 complete) Question Help 1.5.7 Josh wanted to buy a bike but didnt have enough money. Sam slick said, \'Ican fix that. Each time you jump that fence, l\'idouble your money. There\'s one small thing though. Each time I pay you, you must give me $48 back for the privilege of jumping.\" Josh agreed, jumped the fence, received his payment from sam sick, and paid Sam $48. Repeating the routine 2 more times, Josh was distressed to find that, on the last jump, Sam had made his payment to Josh, Josh had only $48 with which to pay Sam and so had nothing lem sam, of course, went merrily on his way, leaving Josh wishing that he had known more about mathematics (a) How much money did Josh have before he made his deal with Sam? money did Josh start with this time? (b) Suppose the problem is the same, but this time Josh jumps the fence 4 times before running out of money. How much (a) Josh had s before he made his deal with Sam. Enter your answer in the answer box and then click Check Answer. Clear All 1 part

Solution

Suppose Josh had x dollars in beginning.

for part a)

After first jump he had $2x after getting his money doubled by Sam but had to give Sam 48$ so net money left with him after 1st jump=2x-48

So,similarly second time,Josh is left with 2(2x-48)-48=4x-144

After 3rd jump,he is left with 2(4x-144)-48=8x-336

Given he was left with nothing so,8x-336=0

so ,x=336/8=42$

for part b)

After 4th jump he is left with 2(8x-336)-48 which is given to be zero.

so,16x-720=0

so,x=45$