Problema Solution
Students are taking a test worth 100 points containing all 40 questions. There are 2-point and 4-point questions on the test. How many of each type of question are on the test?
Answer provided by our tutors
Let x = number of two-point questions
Let y = number of four-point questions
x + y = 40
2x + 4y = 100
x = -y + 40
2(-y + 40) + 4y = 100
-2y + 80 + 4y = 100
2y + 80 = 100
2y = 20
y = 10
x = -10 + 40
x = 30
There are 30 two-point questions and 10 four-point questions on the test.