Solve Using a System of Three Linear Equations

question 98

Multiple Choice

Solve using a system of three linear equations.
-Ron attends a cocktail party (with his graphing calculator in his pocket) . He wants to limit his food intake to 116 g protein, 108 g fat, and 141 g carbohydrate. According to the health conscious hostess, the marinated
Mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat,
And 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of
Each snack can he eat to obtain his goal?

• A)4 mushrooms, 3 meatballs, 7 eggs
• B)7 mushrooms, 4 meatballs, 3 eggs
• C)3 mushrooms, 7 meatballs, 4 eggs
• D)8 mushrooms, 5 meatballs, 4 eggs

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Definitions:

Consumption

Individuals or households utilizing goods and services.

Interest Rate

The proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage.

Present Value

The current worth of a future sum of money or stream of cash flows, taking into account a specific rate of return.

Endowment

An investment fund established by a foundation that makes consistent withdrawals for charitable activities or to fund its operations, typically sourced from donations.