# A custard recipe calls for 3 eggs and 2.5 cups of milk. A vanilla pudding recipe calls for 2 eggs and 2 cups of milk. A bread pudding recipe calls for 2 eggs, 2 cups of milk, and 8 slices of bread. A chef has 30 eggs, 1.6875 gallon of milk and 24 slices of bread. How many of each recipe should the chef make in order to exactly use up all of the ingredients ?(There are 4 cups in a quart)?

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A custard recipe calls for 3 eggs and 2.5 cups of milk. A vanilla pudding recipe calls for 2 eggs and 2 cups of milk. A bread pudding recipe calls for 2 eggs, 2 cups of milk, and 8 slices of bread. A chef has 30 eggs, 1.6875 gallon of milk and 24 slices of bread. How many of each recipe should the chef make in order to exactly use up all of the ingredients ?(There are 4 cups in a quart)?

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Step 1

We are given that a custard recipe calls for 3 eggs and 2.5 cups of milk. A vanilla pudding recipe calls for 2 eggs and 2 cups of milk. A bread pudding recipe calls for 2 eggs, 2 cups of milk, and 8 slices of bread.

Let us denote E for eggs, M for cups of milk and B for slices of bread.

Rephrasing the above information,

Custard Recipe:                      3E and 2.5M

Vanilla  Pudding Recipe:    2E and 2M

Bread Pudding Recipe:      2E, 2M and 8B

Step 2

We are also given that a chef has 30E, 1.6875 gallon of milk and 24B.

We know that 1.5 gallon of milk = 24 cups of milk which implies that 1.6875 gallon of milk = 27 cups of milk.

Rephrasing the above inf...

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