Your history teachers is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is a total of 40 questions on the assessment, how many questions are worth 2 points?
2 answers:
Answer: 28
Step-by-step explanation:
Let x be the number of 2 mark questions
Let y be the number of 3 mark questions
x+y=40. ---------------(1)
2x+3y=92 ---------------(2)
Solve equation (1) for y
y=40−x
Substitute
y=40−x in equation (2)
2x+3(40−x)=92
2x+120−3x=92
2x−3x=92−120
−x=−28
x=28
Substitute
x=28 in equation (1)
28+y=40
y=40−28=12
Number of 2 mark questions
=28
Number of 3 mark questions
=12
Answer:
28
Step-by-step explanation:
x = 2 point questions, y = 3 point questions
x + y = 40
2x + 3y = 92
Solving this we get x = 28, y = 12 so the answer is 28.
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