"What the heck Dr. Drew" - Simon Cross 2018
In the Dr.Drew goes bananas problem we were told a story about how Dr.Drew started and new career of growing bananas in a “remote desert oasis” and how he has just had a harvest of 3000 bananas and want to sell them at the marketplace 1000 miles away. We were then told that Dr.Drew can only hold 1000 bananas at a time and every mile he walks he needs to eat one banana so we had figure out how many bananas he could take to the market with these setbacks.
The first thing most of us thought was well what the heck, we can't answer this with anything other than 0. Because he would all the bananas on the long walk. We were then told that we could make multiple trips back and forth. So that means he can also drop bananas too. He would have to make three trips in total. It took SO many different tries to get it but eventually I did. I started working with large chunks, but using the "Thinking and Starting small" part of Habits of a mathmatiction I started scaling down. The first step in this is to just draw the line and cut it into 4 bits of 250 500 and 750, then started the going back and forth, he could walk to 250 miles start with 1000 and then eat 250 of them and leave 500 there so he has 250 to walk back with, once he is back at his home he will grab another 1000 and walk the 250 miles and leave 500 there so have has the 250 to walk back with lastly he has his last another 1000 an he walks there and manege's to leave 750 of them because he doesn't have to walk back anywhere. This leaves him with 1750 bananas at the 250 mile mark. The next step would repeat the same thing walk with 1000 bananas another 250 miles leave 500 there and walk back get the 750 and walk another 250 leaving him with 1000 bananas at the halfway mark. Because he can carry all of these he can just walk past the 750 mark and straight through to the market and after eating 500 of the 1000 he had he will have 500 bananas to sell at the market.
The first thing most of us thought was well what the heck, we can't answer this with anything other than 0. Because he would all the bananas on the long walk. We were then told that we could make multiple trips back and forth. So that means he can also drop bananas too. He would have to make three trips in total. It took SO many different tries to get it but eventually I did. I started working with large chunks, but using the "Thinking and Starting small" part of Habits of a mathmatiction I started scaling down. The first step in this is to just draw the line and cut it into 4 bits of 250 500 and 750, then started the going back and forth, he could walk to 250 miles start with 1000 and then eat 250 of them and leave 500 there so he has 250 to walk back with, once he is back at his home he will grab another 1000 and walk the 250 miles and leave 500 there so have has the 250 to walk back with lastly he has his last another 1000 an he walks there and manege's to leave 750 of them because he doesn't have to walk back anywhere. This leaves him with 1750 bananas at the 250 mile mark. The next step would repeat the same thing walk with 1000 bananas another 250 miles leave 500 there and walk back get the 750 and walk another 250 leaving him with 1000 bananas at the halfway mark. Because he can carry all of these he can just walk past the 750 mark and straight through to the market and after eating 500 of the 1000 he had he will have 500 bananas to sell at the market.
REFLECTION:
All in all I think did a good job on this POW. Compared with the last one, which I did REALLY bad on. I used a couple habits of a mathematician, including starting small, problem solving, and working with others. I put a LOT of time into this problem and I actually had a good time. On the bad side though, I would like to make sure that I really spend time problem solving, and planning my mathematical process. I just jumped into this problem with out reading the directions or asking questions, which made it so I wasted a TON of time doing things that didn't help the end product when I could have taken two seconds to read through the problem. I have places to improve, but I think I did a much better job on this POW than I thought I would.