math

In a group of 12 chefs, all enjoy baking cakes and/or tarts. In fact, 7 enjoy baking cakes and 8 enjoy baking tarts. Find out how many chefs enjoy baking both cakes and tarts.

Ans = 3, i'm having trouble figuring out how to get this answer. Any help is appreciated.

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  1. draw Venn diagram
    c = 7
    t = 8
    intersection = i
    c-i + t = 12
    15 - i = 12
    i = 3

    so
    4 cake only and 5 tart only and 3 both

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  2. thanks

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