Chef Phillippe has 111 eggs and 69 lbs of flour in his bakery. He has a recipe for Chocolate cake that requires 3 eggs and 2 lbs of flour. He has another recipe for Red Velvet Cake that requires 5 eggs and 3 lbs of flour. If all the supplies are used up making some ratio of both cakes, how many Chocolate cake can he make?
Simultaneous equations x = 3 egg + 2 flour recipe (CHOCOLATE)
y = 5 egg + 3 flour recipe (RED VELVET)
For the eggs 3x + 5y = 111
for the flour 2x + 3y = 69 multiply by - 1.5 to get :
-3x - 4.5y = -103.5 add the red equations to get y = 15 then x = 12 CHOCOLATE CAKES