A history test is to have 20 questions in which some are multiple choice and some are essay. The multiple choice questions are worth 4 points each and the essay questions are worth 8 points each. if the test has a total of 100 points, how many of each type of question is on the exam?

Answer 1

m=number of multiple choice questons,
e=number of essay questions. = (20-m)

4*m + 8(20-m) = 100

Solve for m.

Answer 2

8m+160m=100
168m=100
m=100÷168
m=25/42.

Answer 3

25/42