Question

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 customer buys a bag of dog food that costs $12.79 and pays the sales tax of $0.64. How much change is due back from a $20 bill?

Answer 1

The fraction of residents living both in rented dwellings and in families with school-age children is 12/13. For the dog food purchase with a $20 bill, the change due back is $6.57.

Step-by-step explanation:

To calculate the fraction of residents in the town that live in rented dwellings and are part of families with school-age children, we take the number of residents living in rented dwellings with school-age children, which is 12, and divide it by the total number of residents living in rented dwellings, which is 13. So, the fraction is 12/13.

To determine how much change is due back from a $20 bill when a customer buys a bag of dog food costing $12.79 with a sales tax of $0.64, add the cost of the dog food and the tax to get the total amount paid, which is $12.79 + $0.64 = $13.43. Subtract this total from the $20 bill: $20 - $13.43 = $6.57. Thus, the change due back is $6.57.