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The Unit 6 SBA has ten questions worth 26 points. The SBA consists of True/False questions worth 2 points each and selected response questio
Question
The Unit 6 SBA has ten questions worth 26 points. The SBA consists of True/False questions worth 2 points each and selected response questions worth 3 points each. How many of each type of question are on the Unit 6 SBA?
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Mathematics
4 years
2021-07-25T14:17:41+00:00
2021-07-25T14:17:41+00:00 1 Answers
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Answer: Number of 2 points question = 4, Number of 3 points question= 6.
Step-by-step explanation:
Let x = Number of 2 points question, y= Number of 3 points question.
As per given,
x+y = 10 …(i)
2x+3y = 26 …(ii)
Multiply 2 on both sides of (i), we get
2x+2y=20 ….(iii)
Eliminate (iii) from (ii), we get
y=6
Put value of y in (i), x+6=10
⇒ x=4
Hence, Number of 2 points question = 4, Number of 3 points question= 6.