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charle
[14.2K]
2 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
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answer:
kykrilka
[37]
2 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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