Arthur D. answered 10/12/14
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Mathematics Tutor With a Master's Degree In Mathematics
11 cup 7 cup
______ ______
fill the 11
11 0
fill the 7 from the 11
4 7
empty the 7
4 0
fill the 7 from the 11
0 4
fill the 11
11 4
fill the 7 from the 11
8 7
empty the 7
8 0
fill the 7 from the 11
1 7
empty the 7
1 0
fill the 7 from the 11
0 1
fill the 11
11 1
fill the 7 from the 11
5 7
empty the 7
5 0
fill the 7 from the 11
0 5
fill the 11
11 5
fill the 7 from the 11
9 7
empty the 7
9 0
fill the 7 from the 11
2 7
you have 2 cups in the 11 cup container
I'm sure there is a shorter way. Maybe with this you can see a shorter way. There are probably many ways to do this and this was just trial and error.