Algebra, NAPX-G3-NC26 SA Grace and Angie are dog breeders. The total number of dogs they currently own is 23. Grace owns 9 more dogs than Angie. How many dogs does Grace own? Show Answers Only `16` Show Worked Solution `text{Solution 1 (Trial and error)}` `text(If Grace owns 14)` `=>\ text{Angie owns 9 (5 difference)}` `text(If Grace owns 16)` `=>\ text{Angie owns 7 (9 difference)}` `:.\ text(Grace owns 16 dogs.)` `text{Solution 2 (Algebra)}` `text(Let)\ n = text(number of dogs Angie owns)` `=>\ n + 9 = text(Grace's dogs)` `n + n + 9` `= 23` `2n` `= 14` `n` `= 7` `n + 9` `= 16`