Problema Solution
Sylvia wants to organize a group of friends ( including herself) to get together and hold a party. A function room and disco cost $100 for the evening and a light buffet can be provided for $1 per head. Each friend will invite 30 guests. The friends and Sylvia will split the costs equally but they do not want to pay more than $50 each. At least how many people must Sylvia ask to host the party with her?
Answer provided by our tutors
let 'n' represent the number of hosting, including Sylvia, so that '30n' represent the number attending and then the cost equation is;
30n + 100
we want a cost per attendee that is no more than 50:
50 >= (30n+100)/n
solving for 'n' we have n >= 5
Syvia must ask at least 4 other people to help host the party