In a class of 100 students, one fifth of the students dont have any of three - pen , pencil or paper. The number of students who have a pen and paper only, a pen and pencil only, a pencil and paper only are in the ration 1:2:3. 30 students dont have either pencil or paper. 40 students dont have either a pen or paper, 35 students dont have either a pen or a pencil. The number of students having pen and pencil only is double the number having all 3. The number of student having a pen is?

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In a class of 100 students, one fifth of the students dont have any of three - pen , pencil or paper. The number of students who have a pen and paper only, a pen and pencil only, a pencil and paper only are in the ration 1:2:3. 30 students dont have either pencil or paper. 40 students dont have either a pen or paper, 35 students dont have either a pen or a pencil. The number of students having pen and pencil only is double the number having all 3. The number of student having a pen is?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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@perl Please help?
number of people who have no pen & no pencil & no paper = 1/5 * 100 = 20
The way to usually solve this is with a Venn diagram

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