Question

It’s Judy’s birthday, and her coworkers are going to surprise her with an ice cream cake! She has w coworkers who plan to share the cost of the cake, k dollars, equally. If 3 coworkers decide not to contribute at the last minute, which of the following is equivalent to the extra amount each coworker must now contribute?

Answer 1

The extra amount each coworker must now contribute after 3 decide not to is the difference between the new amount (k/(w - 3)) and the initial amount (k/w).

Step-by-step explanation:

If Judy has w coworkers who plan to share the cost of the cake, and the cake costs k dollars, initially, each coworker would contribute k/w dollars. When 3 coworkers decide not to contribute, the total number of contributing coworkers becomes w - 3. Therefore, the new amount each coworker must contribute is k/(w - 3) dollars. To find the extra amount that each coworker must now contribute, we subtract the initial contribution from the new contribution, which gives us:

Extra amount each coworker must contribute = k/(w - 3) - k/w.