High School

Solve using a Venn diagram:

Eight girls decided to go to Trece Martires City to shop for shoes.

- Four of the girls want shoes at Walter Mart for their cheap prices.
- Three girls like to buy pretty shoes in SM Mall.
- Two of the girls like to check for shoes in both SM Mall and Walter Mart.

Determine the number of girls who:

a) Want shoes at Walter Mart only
b) Want shoes at SM Mall only
c) Want shoes at both Walter Mart and SM Mall
d) Do not want shoes from either Walter Mart or SM Mall

Answer :

Final answer:

In total, 2 girls prefer Walter Mart only, 1 girl prefers SM Mall only, 2 girls prefer both, and 3 girls prefer none of the above.

Explanation:

To solve the problem using a Venn diagram, place the eight girls in two overlapping circles. Label one circle as Walter Mart (WM) and the other as SM Mall (SMM). Start by filling in the overlapping section with the number of girls who want to shop in both malls, which is two according to the question. Then, for the remaining girls who want to shop only at one mall and not the other, subtract the girls that also like the other mall. So, for WM, subtract 2 from 4 to get 2, and for SMM, subtract 2 from 3 to get 1.

So the answers are: a) 2 girls for Walter Mart only b) 1 girl for SM Mall only c) 2 girls for both Walter Mart and SM Mall d) The leftover is 8 girls - 2(WM only) - 1(SMM only) - 2(both) = 3 girls for none of the above.

Learn more about Venn Diagram here:

https://brainly.com/question/37734481

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