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charle [14.2K]
3 years ago
9

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=?

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0
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

<u>-60 </u>= <u>-2t
</u>-2        -2

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

Therefore,
t = 30 questions
f = 10 questions
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