Question

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Luanne got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay. How many points was each multiple choice question worth?

Answer 1

saying m is multiple choice questions, that equation would be:
14m+24=16m+14
subtract the 14 from each side to get:
14m+10=16m
subtract the 14m from each side to get:
10=2m
divide each side by 2 to get the answer:
5=m
multiple choice questions are worth 5 points.