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Mathematics, 12.11.2020 14:00 zachstonemoreau

In a community club, a group of 40 women takes part in at least one of the three activities: Cooking, Singing and Dancing.
Of the 25 women who choose Cooking, 8 also choose Singing and Dancing, 3 choose
Cooking only, 6 choose Dancing but not Singing. Of the 15 women who do not
choose Cooking, x chooses both Singing and Dancing, 2x - 2 choose only Dancing
and 5 choose only Singing.
(a)
(b)
Draw a Venn diagram to illustrate this information.
Find the value of x.
How many women choose Cooking and Singing but not Dancing?

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Answers: 1

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