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?

Since we're looking for x and y, we can set up a system of equations.
x + y = 40
2x + 4y = 100
Let's try 20 for x and 20 for y.
20 + 20 = 40
2(20) + 4(20) =40 + 80, nope.
Let's try 30 for x and 10 for y.
30 + 10 = 40
2(30) + 4(10) = 60 + 40, yes!
x (2 pt) = 30
y (4 pt) = 10
I hope this helps!