Louann and carla received equal scores on a test made up of multiple choice questions and an essay. louann 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? points

Louann= 14x+24
Carla= 16x+14
 So basically this is just like solving equations. The way I did this was just put random numbers for x and then solve it.
First attempt: 
14(7)+24=16(7)+14
98+24=112+14
122=126
 Okay the first one didn't work so I use 6 for x. 
Second attempt: 
14(6)+24=16(6)+14
84+24=96+14
108=110

So 6 didn't work and you already should know that the answers should be between 1 and 5. 

So now I going to do 5 for x
Third attempt:
14(5)+24=16(5)+14
70+24=80=14
94=94
 
And so the answer is 5! :D The multiply choice questions were worth 5 points and Louann and Carla had 94 for their scores! I hope this help you out and clear for you! :D