A test has twenty questions worth 100 points. The test consists of True/ False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

Answer 1

T/F ---- x
multiple choice --- y

x+y = 20 ----> y = 20-x
3x + 11y = 100
3x + 11(20-x) = 100
3x + 220 - 11x = 100
-8x = -120
x = 15 and then y = 5

There are 5 multiple choice questions