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Nadya [2.5K]
3 years ago
8

Last year a business had profits of $8,000.This year its profits are 5 times as great.This are this year's profits?

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0
$40,000 in profits this year
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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:

2x + y = 350

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:

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We have the following system

1)2x + y = 350

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I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y

1)2x + y = 350

2)-x - y = -200

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x = 150

x + y = 200

y = 200 - 150 = 50

You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.

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