You manage an ice cream factory that makes two flavors: Creamy Vanilla and Conti

Question

You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 550 eggs and 1050 cups of cream. How many quarts of each flavor should you make in order to use up all the eggs and cream?

Creamy Vanilla: ? qt

Continental Mocha: ? qt

*Also, if you know of any calculators/tools that'll make this easier to solve, please let me know!*

Explanation / Answer

V quarts = Vanilla
M quarts = Mocha
2V + M = 500 ......this is the egg situation......(1)
3V + 3M = 1050 .....this is the cream situation....(2)
Multiply equation (1) by -3
-6V - 3M = -1500
3V + 3M = 1050
.................
-3V=-450
3V = 450
V = 150 quarts
M= 200 quarts
.
.
200 quarts of Vanilla will use 400 eggs and 600 cups of cream.
150 quarts of Mocha will use 150 eggs and 450 cups of cream.

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