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mathstudent55
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Whoever is inside an ellipse labeled something (such as M for music) is doing that thing.

mathstudent55
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In the M ellipse, there are 2x + 2 students. The 2 is also in the A ellipse, because two of the students doing Music also do Art.


mathstudent55
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Students in Art: 2 + x + 3 = x + 5

bunyonb
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ok

mathstudent55
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ii. 2x + 2 + x + 3 + x 1 + 10 = 50

bunyonb
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ok
i see

mathstudent55
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Solve eq above and get value of x.
Then for iii, there are 2x students doing music alone.
For iv, there are 3 + x  1 students doing French

bunyonb
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yes it is easy from there on
Thanks a million man

mathstudent55
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wlcm