Three travelers came to a hotel and ordered for a pizza and fell asleep. The first traveler woke up and ate the 1/3 part of the pizza. The second traveler woke up and ate the1/3 part of the pizza. The third traveler woke up and did the same thing. In the morning they saw that the pizza remained on the table costs 8 taka. How much everyone will pay?
Ans. The first one cut the pizza into 3 pieces and ate 1 piece that means he ate 1/3 of the pizza. So that 2/3 of the pizza remained. The second person ate 1/3 of the 2/3 of the pizza that means 2/9 of the pizza. The two persons ate 5/9 of the pizza. The 4/9 part of the pizza remained. The third person ate 1/3 of the 4/9 of the pizza that means 4/27 of the pizza. So by the smallest piece, the first one ate 9 pieces, the second one ate 6 pieces and the third one ate 4 pieces. They all ate 19 pieces and 8 pieces remained. The 8 pieces costs 8 taka. So 1 piece costs 1 taka. So 27 pieces costs 27 taka that means the whole pizza costs 27 taka. The first one will pay 9 taka, the second one will pay 6 taka and the third one will pay 4 taka.
My Olympiad problem solution 001
For students upto class 5 (age upto 12)
Unread post by aftab » Tue Jan 03, 2012 9:25 pm
Jump to
- General Discussion
- ↳ News / Announcements
- ↳ Introductions
- ↳ Social Lounge
- ↳ Site Support
- ↳ Test Forum
- ↳ Teachers' and Parents' Forum
- Mathematics
- ↳ Primary Level
- ↳ Junior Level
- ↳ Secondary Level
- ↳ Higher Secondary Level
- ↳ College / University Level
- Olympiads & Other Programs
- ↳ Divisional Math Olympiad
- ↳ Primary: Solved
- ↳ Junior: Solved
- ↳ Secondary: Solved
- ↳ H. Secondary: Solved
- ↳ National Math Olympiad (BdMO)
- ↳ National Math Camp
- ↳ Asian Pacific Math Olympiad (APMO)
- ↳ International Olympiad in Informatics (IOI)
- ↳ International Mathematical Olympiad (IMO)
- Olympiad Level
- ↳ Geometry
- ↳ Number Theory
- ↳ Algebra
- ↳ Combinatorics
- Sciences
- ↳ Physics
- ↳ Chemistry
- ↳ Computer Science
- ↳ Biology
- ↳ Astronomy & Astrophysics