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There are twice as many students in the cooking club as in the drama club. Suppose there are a students in the drama club and b students who are members of both clubs. Find an expression for the total number of students who are in the cooking club or the drama club (or both). Give your answer in simplest form.

 Jun 5, 2022
edited by Guest  Jun 5, 2022
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We can use a Venn diagram.

 

b students are in both clus, and so the number of students in only the drama club is a - b.  There are twice as many students in cooking club as in drama club, which is 2a - 2b.  Adding them up, you get (a - b) + b + (2a - 2b) = 3a - 2b.

 Jun 5, 2022

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