Real Life: A caterer is planning a party for 75 people. The customer has $170 to spend. A $35 pan of lasagna feeds 12 people and a $10 cheese and crackers tray feeds 9 people. How many pans of lasagna and how many cheese and crackers trays should the caterer make?
People per
pan | * | Pans of
lasagna | + | People per
tray | * | Trays of
cheese and crackers | = | People at
the party |
Price per
pan | * | Pans of
lasagna | + | Price per
tray | * | Trays of
cheese and crackers | = | Money to
spend on food |
Translate the problem into relationships and variables. In this case, let x equal the number of pans of lasagna and y equal the number of cheese and crackers trays12x + 9y = 75
35x + 10y = 170 |