Answers:
- 44 small cartons
- 176 medium cartons
- 44 large cartons
- 3256 eggs in total
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Explanation:
1/6 of the total number of cartons are small. We have 264 total cartons, so,
1/6 of 264 = (1/6)*264 = 44
We need 44 small cartons.
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2/3 of the total cartons are medium, so,
2/3 of 264 = (2/3)*264 = 176
There are 176 medium cartons.
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So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.
This must mean there are 264 - 220 = 44 large cartons
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Now because:
- A small carton holds 8 eggs
- A medium carton holds 12 eggs
- A large carton holds 18 eggs
and
- There are 44 small cartons
- There are 176 medium cartons
- There are 44 large cartons
This means we have
- 8*44 = 352 eggs from just the small cartons
- 12*176 = 2112 eggs from just the medium cartons
- 18*44 = 792 eggs from just the large cartons
Ultimately, we have 352+2112+792 = 3256 eggs in total.
