an exam worth 245 points contains 45 questions some questions are worth 7 points, and others are worth 2. how many 7 point and 2
point questions are there on the test
2 answers:
Answer:
There are 31 questions that are worth 7 points and there is 14 questions that are worth 2 points.
Answer:
31 questions that are worth 7 points, 14 questions that are worth 2 points
Step-by-step explanation:
the variable s will stand for the number of 7 point questions, the variable t will stand for the number of two point questions.
7s + 2t = 245
s + t = 45
-------------
t = 45 - s
7s + 2(45 - s) = 245
7s + 90 - 2s = 245
5s + 90 = 245
5s = 155
s = 31
There are 31 questions that are worth 7 points.
7(31) + 2t = 245
217 + 2t = 245
2t = 28
t = 14
There are 14 questions that are worth 2 points
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