Fund raising

A number of people decided to raise 3 million euros by contributing equal amounts. Had each person contributed 50 euros extra, the total contribution would have been 3.25 million euros. How many people are there?

Final Answer:

n =  5000

Step-by-step explanation:

$$\begin{gathered} 3000000=n\cdot a \\ 3250000=n\cdot (a+50)=na+50n \\ 3250000-3000000=50n \\ 3250000-3000000=50\cdot n \\ 50n=250000 \\ n=\frac{250000}{50}=5000 \\ n=5000 \\ \text{ Verifying Solution: } \\ a=3000000/n=3000000/5000=600 \end{gathered}$$

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