Question

your teacher is giving you a test worth 100 points that contains 40 questions. there are 2point questions on the test. how many of each type of question are on the test? use t to represent 2ponts and f to represent 4points. what is equation 1 and 2.t=? f=?

Answer 1

100 = 2t + 4f
40= t + f
-----------
get t or f by itself first.

f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f
100= 2t +4(40-t)
100= 2t + 160 - 4t
100 = -2t + 160
-160 -160

-60 = -2t
-2 -2

t = 30 (Then plug this into either equation to solve for f)

Therefore,
t = 30 questions
f = 10 questions