Surplus and Shortage Problems
I went chestnut picking with my friends. Based on the conditions regarding surpluses and shortages during distribution, how many people went chestnut picking and how many chestnuts did they gather?
| The number of people is | PeopleChestnut-picking |
| In total, | piecesWe picked them. |
[Approach]
If you know the number of items in the yellow section of the diagram, you can determine the number of people sharing them.
Once you know the number of people, you can easily calculate the total number of chestnuts.
(1) Number of chestnuts in the yellow area = Shortage + Surplus
(2) Number of people = (Shortage + Surplus) ÷ Difference in distribution amounts
If you know the number of items in the yellow section of the diagram, you can determine the number of people sharing them.
Once you know the number of people, you can easily calculate the total number of chestnuts.
(1) Number of chestnuts in the yellow area = Shortage + Surplus
(2) Number of people = (Shortage + Surplus) ÷ Difference in distribution amounts
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