Solutions
The movers scored a total of 80 points in their game last night against the shakers. The movers had no - one point shots, and a total of 35 with 2 points and 3 points.
We know that -
Zero one shots were taken and a total of 35 with 2 points and 3 points.
Lets see how many groups we can make that equal 35 with only using 2 points and 3 points.
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Group α
2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 3.
There are 16 number 2's and one 3 that make 35.
Group β
3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 2
There are 11 number 3's and one 2 that makes another group of 35.
In conclusion there are two groups that make 35.
The movers could have scored 11 (3's) and one 2 or 16 (2's) and one 3.
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