Originally posted by Master of Golden Sun
Problem: Your job is to feed the monkeys at the local zoo. There are 15 monkeys, and you have 39 bananas to share equally among them. You may cut the bananas into pieces
SHOW ALL WORK!!!
1.) How much does each monkey get?
2.) What is the minimum number of pieces you need to make?
3.) What is the minimum number ofcuts you can make to cr ...[text shortened]... ) Explain, using complete sentences as to how you solved this problem and why your answer works!
1.) every monkey gets an even share, so every monkey gets 39/15=2+3/5.
2.) You need 30 whole bananas, so then you need to divide 9 bananas by 15. you can make 9 (3/5)'s. then you need to divide 9 (2/5)'s by 6. so you cut 3 of those pieces in half, to give those 6 monkeys a (2/5) and a (1/5). Number of pieces 30 + 9 + 6*2 = 51
3.) For the 30 whole bananas you need no cuts. for those 9 (3/5)'s you need nine cuts. for the last 9 (2/5)'s you need 3 cuts. Total of cuts: 9 +3 = 12
4.) The reason why these are the minima is because all cuts made are efficient. the first 9 cuts gives you pieces with which you can feed 9 monkeys. Then for the next cut gives you pieces to feed 2 monkeys at once. The next two also. There is no other way you can use your cuts this efficient. And the fewer cuts, the fewer pieces.