The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 30 more than the number who did not, and if receipts for registration and lunch totaled $75,360, how many people paid just for registration at the meeting? Choose the correct choice from the following answers
A) 700  B) 800  C) 600  D) 1,500  E) 1,800
Hope this might be useful to you.   Let the number of people who have opted only to register = x   Now since the registration cost is 50$ per person, the total amount sums to = 50x $   As per the information given in the question, the number of registrants who paid for lunch was 30 more than the number who did not. That means, total number of people who registered and paid for lunch = 30 + x.   For the people who registered for lunch the cost is 50 $ (for the event registration) + 22 $ (for lunch) = 72 $.   Total amount in this case sums to = 72(30 + x) = 2160 + 72x   Now, total amount received was 75360.   Thus, from the above data,   50x + 2160 + 72x = 75360   122x = 75360 - 2160   122x = 73200   x = 600.   Hence the correct Ans is 600
<result>C</result>
The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 30 more than the number who did not, and if receipts for registration and lunch totaled $75,360, how many people paid just for registration at the meeting?