Answer:
in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
Step-by-step explanation:
Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.
For Creamy Vanilla go 2 eggs and 3 cups of cream
For Continental Mocha go 1 egg and 3 cups of cream.
Total number of eggs = 500 eggs
Total number of cream cups = 900 cups.
For the eggs;
2 eggs × x + 1 egg × y = 500
2x + y = 500 .......1
For the cream cups;
3 cups × x + 3 cups × y = 900
3x + 3y = 900
Dividing through by 3
x + y = 300 .......2
Solving the simultaneous equation;
Subtracting equation 2 from 1
(2x + y) - (x+y) = 500-300
2x -x = 200
x = 200
Substituting x = 200 into equation 2;
200 + y = 300
y = 300 - 200
y = 100
Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;
Creamy vanilla x = 200 quarts
Continental mocha y = 100 quarts
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