The past few weeks we have been working on a project called Fay’s 9. We got set a task, we had a problem that went a little like this. We started with three columns and they all had to add up to 999. I started the project with trying to figure out what each column equalled. Later in that session, my partner and I found that the first column adds up to 7 or 8, the second column had to equal to 18 and the third had to be 9 or 19. For 19 we thought that there were 25 unique solutions but there were actually 5 and for 18 it was 6. The teachers soon set us a different problem over the week, which included letters and numbers. We noticed that each combo that adds up to 19 has 36 solutions and each column can be changed 6 times. 4 has to be at the top twice, 3 has to be at the top twice etc. To start of with I didn’t understand how to work out the problem but when I got it explained to me I understood. Like I said before about 5 solutions, my group and I broke it up to find that there were 5 different solutions by looking at the different possible solutions. Also we broke the problem up by finding out what each column equalled. Near the end of the project, my group and I started to get the hang of it all and we soon figured out the answer. The last session we got the answer of the question and finished the project. The answer was that there are 5 different combos that equal 19. You can swap the 10’s and 100’s around 6 times.
6 x 6 = 36,
36 x 5 = 180,
6 x 6 x 5 = 180
To start of the question made sense to me but I didn’t understand how to start off. Someone in the grade told everyone that there were 180 solutions, which meant we knew the answer and we had to figure out the rest. The question would’ve been harder to figure out in my option but the question was really interesting and to be honest I struggled a bit but it was one of my favourites. I worked with Sophie r, Lexi, Sophie Vo & Matisse.