Write a System of Equations to Describe the Problem Situation $x + y = 5,300 , y = 6 x$

question 24

Multiple Choice

Write a system of equations to describe the problem situation. It is not necessary to solve the problem. The I.R.Rabbit Company sells carrots. It sells six times as many pounds to grocery stores as to restaurants. It has 5,300 pounds of carrots. The company sells x pounds of carrots to grocery stores and y pounds of carrots to restaurants.

• A) \(x + y = 5,300 , y = 6 x\)
• B) \(x - y = 5,300 , x = 6 y\)
• C) \(y - x = 5,300 , x = 6 y\)
• D) \(x + y = 5,300 , x = 6 y\)
• E) \(x = 5,300 + y , y = 6 x\)

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Definitions:

Domestic Consumers

Individuals or entities within a country that purchase goods and services for personal use or consumption.

Domestic Producers

Refers to businesses and individuals that produce goods and services within a country's borders.

Tariff

A tax imposed by a government on goods and services imported from other countries to raise state revenue or to protect domestic industries.

Total Surplus

The total net gain to consumers and producers from trading in a market, represented by the sum of consumer and producer surplus.