Question

A 3 lb puppy is gaining weight at a rate of ¾ lb per week. When will the puppy’s weight exceed 22 ½ lb?

Answer 1

After 26 weeks (27 weeks if you need to count only full weeks)

Explanation:

Let `w` be the required number of weeks.
`3+3/4w>22 1/2`

`3/4w > 19 1/2`

`3/4 w > 39/2`

`w > (cancel(39)^13)/cancel(2) xx (cancel(4)^2)/cancel(3)`

`w>26`