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A bad fairy promised to pay double a bunny's money each time the bunny ran across a field of the bunny prom...
...ised to pay the fairy $20 after each crossing. The bunny agreed, but after three crossings there was $20 with which to pay the fairy, and bunny was left with no money. How much did the bunny have the start?
No jokes please. ^^;
4 Answers
- 2 decades agoFavorite Answer
Allright- here you go:
X= The Bunny's starting money
***2X-20 is how much money the bunny would have after 1 crossing, so you want to use "2X-20" as your next "X" and nest to figure for 3 crossings- we know the bunny had no money after 3 crossings so our formula equals zero***
2(2(2X-20)-20)-20=0
and solve for X
(4(2X-20)-40)=0
8X-140=0
8X=140
X=$17.50
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Okay, 2nd thoughts. . . . the previous formula would be if the bad fairy doubled the bunny's money every time he crossed the field, but in this case- if she's paying bunny twice what he currently has he would have (X+2X-20)=(3X-20) bucks after crossing the field the first time and paying her off. This would make the correct formula:
3(3(3X-20)-20)-20=0
Solve for this X and the bunny's starting amount equals $9.63, but then he would still have a penny left after his last crossing. . . .
- royroxLv 52 decades ago
Funny bunny money? I couldn't read the question without getting lost. Guess I'm not made for Mensa, after all.
- 2 decades ago
he only had $40 so then he would have to pay the fairy $20 (i am not to good at this)
