Question

Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?

Answer 1

Number of 2 mark questions is 30
And number of 4 mark questions is 10 because 40 divided by 4 is 10 and 40 divided by 2 is 30

Answer 2

Number of 2 mark questions

30

Number of 4 mark questions

10

Explanation:

x+y=40

2x+4y=100

y=40-x

2x+4(40−x)=100

2 x + 160 − 4 x = 100

2 x − 4 x = 100 − 160

−2x=−60

x=−60−2=30

x=30

Number of 2 mark questions = 30

Number of 4 mark questions = 10