Data Sufficiency

21. At a business association conference, the registration fee for members of the association was $20 and the registration fee for nonmembers was $25. If the total receipts from registration were $5,500, did more members than nonmembers pay the registration fee?
(1) Registration receipts from members were $500 greater than receipts from nonmembers.
(2) A total of 250 people paid the registration fee.

OA later

let the no of registered members be x
and the no of non registered members be y

Then according to the question:
20x +25y = 5500---------I

Statement 1
20x-25y = 500----------II
We can solve equation I and II to get the value of both x and y
Sufficient

Statement 2
x + y = 250-------------III
Solve equation I and III to get the value of both x and y
Sufficient

Answer is D

The Answer would be a D.

The question says :

20(M) + 25 (N) = 5500,

Hence we can find the value of the variable if the value of either N or M is known or another equation relating M and N is known.

1) Gives another equation with M and N => Sufficient
2) Sufficient => same reason as above