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Olin [163]
3 years ago
12

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?
Mathematics
2 answers:
Sedaia [141]3 years ago
6 0

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

Temka [501]3 years ago
4 0

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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-------------

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-----------------

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Step-by-step explanation:

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