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Solve Using a System of Three Linear Equations

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Solve using a system of three linear equations.
-Three shrimp boats supply the shrimp wholesalers on Hilton Head with fresh catch. The Annabelle takes 50% of its catch to Hudson's, 20% to Captain J's, and 30% to Mainstreet. The Curly Q takes 40% of its catch to Hudson's,
40% to Captain J's, and 20% to Mainstreet. The SloJoe takes 30% of its catch to Hudson's, 40% to Captain J's, and
30% to Mainstreet. One week Hudson's received 240.2 pounds of shrimp, Captain J's received 203.8 pounds, and
Mainstreet received 158 pounds. How many pounds of shrimp did each boat catch?


Definitions:

Accounts Receivable

Funds that are due to a company from its clients for the delivery of goods and services which payment is pending.

Net Assets

The total assets of a company minus its total liabilities; a measure of its financial health and value.

Equity

The value of an owner's interest in a property or business, calculated as the difference between the total assets and total liabilities.

Liabilities

Liabilities are obligations arising from past transactions expected to lead to an outflow of resources embodying economic benefits.

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