SOLUTION: hi i was wondering if you could help me with this question? it is a multiple choice answer question on algebra and problem solving however i am struggling to work out the correct a

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Question 706432: hi i was wondering if you could help me with this question? it is a multiple choice answer question on algebra and problem solving however i am struggling to work out the correct answer.
the question reads:
in a maths exam with N questions, you score m marks for a correct answer to each of the first q questions and m+2 marks for a correct answer to each of the remaining questions. what is the maximum possible score?
the choices then read:
A (m+2)N-2q B Nm C mq+(m+2)q D n(m+1) E Nm+q(m+2)
i have tried replacing the numbers with letters however it hasnt really helped! thanks again!
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
in a maths exam with N questions, you score m marks for a correct answer to each of the first q questions and m+2 marks for a correct answer to each of the remaining questions.
what is the maximum possible score?
:
The max score for the first q questions: mq
The max score for remaining questions: (N-q)(m+2) FOILs to: Nm+2N-mq-2q
Total score, combine like terms:
mq + (Nm + 2N - mq - 2q) = Nm + 2N - 2q
Factor out N
N(m+2) - 2q, this look like ans A