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Answer:
The required numbers are: 36, 40, 44
Step-by-step explanation:
Let first number = 4x
Second number = 4(x+1)
Third number = 4(x+2)
There sum = 120
We need to find the numbers
We can write:
So, we get x = 9
Now, finding the numbers:
first number = 4x = 4(9) =36
Second number = 4(x+1) = 4(9+1) = 4(10) = 40
Third number = 4(x+2) = 4(9+2) = 4(11) = 44
So, The required numbers are: 36, 40, 44
Answer:
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.
Step-by-step explanation:
This problem can be solved by a system of equations.
The largest profit is going to earned when all the eggs and cups of cream in stock are used.
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:
Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.
So:
Simplifying by 3.
We have the following system
I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.