Josh wanted to buy a bicycle but didn't have enough money. After Josh told his troubles to Sam Slick, Sam said, "I can fix that. See that fence? Each time you jump that fence, I'll double your money. There's one small thing though: you must give me $32 each time for the privilege of jumping."
Josh agreed, jumped the fence, received his payment from Sam Slick, and paid Sam $32. Repeating the routine twice more, Josh was distressed to find that, on the last jump, after Sam had made his payment to Josh, Josh had only $32, 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.
Answer (3)
If he had less than 32 he couldn't jump. If he had 64 he would have not lost nor won on each jump -- he gets 64 in total after each jump. If he had more than 64 he would have won. Now, 3 jumps give him a result of 32. After 2 jumps he had 32(pay)+16(doubled)=48. After the first jump he had 32+24=56. Before that he had 32+28=$60. 5 more dollars and he could have build his way to richness!
Answer:If he had less than 32 he couldn't jump. If he had 64 he would have not lost nor won on each jump -- he gets 64 in total after each jump. If he had more than 64 he would have won.
Now, 3 jumps give him a result of 32. After 2 jumps he had 32(pay)+16(doubled)=48. After the first jump he had 32+24=56. Before that he had 32+28=$60. 5 more dollars and he could have build his way to richness!
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Josh started with $32, and each jump resulted in double the amount but he had to pay $32 each time. Despite the doubling, the fees made it impossible for him to profit, leaving him with nothing after three jumps. This illustrates how the cost of each jump outweighed the benefits of doubling his money.
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