Question 43

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waecmaths question: 

In a quiz competition, a student answers n question correctly and was given D(n + 50) for each question correctly answered. If he gets D600.00 altogether. How many question did he answer correctly?

Option A: 

18

Option B: 

15

Option C: 

12

Option D: 

10

waecmaths solution: 

\[\begin{align}  & n(n+50)=600 \\ & {{n}^{2}}+50n-600=0 \\ & (n-10)(n+60)=0 \\ & n=10\text{ and }n=-60 \\ & \text{Ignore }n=-60,\text{ as }n\text{ cannot be negative}\text{. }n=10 \\\end{align}\]

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