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You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. in your town, 13 of the residents live in rented dwellings. of those who live in rented dwellings, 12 are in families with school-age children. on your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?

a.13
b.15
c.16
d.25
e.56

1 Answer

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Final answer:

The fraction of the residents living both in rented dwellings and in families with school-age children is 12/13. the correct option is a.13 .

Step-by-step explanation:

The fraction of the residents living both in rented dwellings and in families with school-age children is 12/13:

This calculation starts by noting that 13 residents live in rented dwellings. Of these, 12 are in families with school-age children, as stated in the given statistics. To find the fraction of residents who fulfill both criteria, we divide the number of residents in rented dwellings with school-age children (12) by the total number of residents in rented dwellings (13), resulting in the fraction 12/13.

This simplified fraction cannot be further reduced and, therefore, represents the requested fraction for the talking points. According to the given information, 13 residents live in rented dwellings and 12 of them are in families with school-age children. Therefore, the fraction of residents who live in both rented dwellings and families with school-age children is: 12/13 .

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