Problema Solution
You are planning a party for 230 people and you have $1500 to spend. A pan of pasta feeds 15 people and $45, while a sand which tray feeds 12 people and cost $35. How many pans of pasta and trays of sandwiches can you order to stay within your budget?
Answer provided by our tutors
let 'x' represent the number of pasta trays purchased and 'y' represent the number of sandwich trays purchased
230 = 15x + 12y
1500 = 45x + 35y
but this system has no reasonable solution, it appears that there are many possibilities
if all you bought was sandwiches:
1500/35 = 42 trays of sandwiches
42 * 12 = 504 people could be fed
similarly, for pasta, 500 people could be fed
so buying any combination of pasta or sandwiches will feet all 230 people with double the food leftover