Question

you are taking an exam with mutiple choice questions worth 5 points and short reponse questions worth 8 points. it takes 2 minutes for each mutiple choice question and 6 minutes for each short answer question. the total time allowed is 60 minutes and you may not answer more than 18 questions. assume that you answer every question correctly, how many questions of each type should you answer to get the highest score possible?

Answer 1

you should answer 6 multiple choice questions and 8 short answer questions

Explanation:

for short answer questions,if you get

8×6=42minutes

and for multiple choice questions,if you get

6×2=12minutes

this equals to the maximum time

It's also less than 18 questions and for short answer questions, it is 64 points and multiple choice questions 12 points equalling to 76 points which is maximum