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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?

 Apr 20, 2021
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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

 Apr 21, 2021

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