There was a king who made a deal with the people that he would collect rice each day, and would give up rice to the people if there was a famine. So one day there was a famine, and the people were complaining because of hunger. But the king said that it wasn't a big enough famine. So the king got the grains of rice from the storage and put them in buckets on elephants to carry to the palace. But some buckets had holes, so the rice was falling out. A girl was collecting the rice that was falling using her skirt. When she went to the palace, she got caught, and she said that she was saving it for the king so he wouldn't lose any rice. So once the king heard, he made a deal with the girl. The girl said she wanted 1 grain of rice and 2 times as much each day for 30 days. "I think it's easy!" the king said, so the deal was made.
I predict it would be about 240 grains of rice.
I wonder how much rice is in the storage.
I wonder who got the better deal.
- Hendon (Grade 8)
| day |
rice |
total |
| 1 |
1 |
1 |
| 2 |
2 |
3 |
| 3 |
4 |
7 |
| 4 |
8 |
15 |
| 5 |
16 |
31 |
| 6 |
32 |
63 |
| 7 |
64 |
127 |
| 8 |
128 |
255 |
| 9 |
256 |
511 |
| 10 |
512 |
1023 |
rice = 2 to the power of (day-1)
Total rice = one more than the previous day's rice amount.
Resources:
https://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/6-8/OneGrainRice-AS-OGR.pdf
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