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 |