A pet store keeps track of the purchases of customers over a fours hour period. The store manager classifies purchases as containing a dog product, a cat product, a fish product, or product for a different kind of pet. He found! 83 purchased a dog product 101 purchased a cat product 22 purchased a fish product 31 purchased a dog and a cat product 8 purchased a dog and a fish product 10 purchased a cat and a fish product 6 purchased a dog, a cat, and a fish product 34 purchased a product for a pet other than a dog, cat, or fish. Draw a Venn diagram to find that: (1) How many purchases were for a dog product only? (ii) How many purchases were for a cat product only? How many purchases were for a dog or a fish product? (iv) How many purchases were there in total?
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83 purchased a dog product
101 purchased a cat product
22 purchased a fish product
31 purchased a dog and a cat product
8 purchased a dog and a fish product
10 purchased a cat and a fish product
6 purchased a dog, a cat, and a fish product
34 purchased a product for a pet other than a dog, cat, or fish
Venn diagram on the given information is as follows:
Now from the venn diagram, we can answer these questions.
(i) How many purchases were for a dog product only?
Ans: 50
(ii) How many purchases were for a cat product only?
Ans: 66
(iii) How many purchases were for a dog or a fish product?
Ans: 50+2+10 = 62
(iv) How many purchases were there in total?
Ans: 50+2+10+25+6+4+66+34 = 197