10.16-Thoughts on the dishes puzzle
Wow! Actually, I saw this question in my homework when I was a child, but I forgot how I was doing it. I think we should find the common multiple at first, since we don't want to let the dishes be cut. " every 2 used a dish of rice, every 3 used a dish of broth, and every 4 used a dish of meat between them", so the common multiple of 2,3 and 4 should be 12. We can let every 12 people form a group, then in one group, there are 6 dishes of rice, 4 dishes of broth, and 3 dishes for meat, In total, there are 13 dishes in a group. There are 65 dishes together, every 13 dishes for 12 people, so 65 ÷ 13=5, 5 × 12=60 , so there were 60 people. • Does it makes a difference to our students to offer examples, puzzles and histories of mathematics from diverse cultures (or from 'their' cultures!) If I were the student, I’d find it really engaging. It’s fascinating to think about how ancient people approached problems and to see the connections between math and culture. F...