The number of true/false questions is ' T '.
They're worth 3 points each, so the total true/false points is 3T .
The number of multiple choice is ' M '.
They're worth 8 points each, so the total multiple choice points is 8M .
T + M = 30 questions all together
3T + 8M = 100 points all together
Multiply each side of the first equation by 8,
and write the second equation under it:
8T + 8M = 240
3T + 8M = 100
Subtract the second equation from the first one: 5T = 140
Divide each side by 5 : T = 28 t/f questions
The rest of the 30 questions are multiple choice . . .
only 2 multiple choice questions.
