Write a System of Equations to Describe the Problem Situation $y = 5 x , 10 x + 25 y = 450$

question 30

Multiple Choice

Write a system of equations to describe the problem situation. It is not necessary to solve the problem. Restaurants buy 10-pound and 25-pound bags of carrots. They want five times as many 10-pound bags (x) as 25-pound bags (y) . If the company estimates that restaurants will buy 450 pounds of carrots, how many bags of each size should be packaged?

• A) \(y = 5 x , 10 x + 25 y = 450\)
• B) \(x = 5 y , 10 y - 25 x = 450\)
• C) \(x = 5 y , x + y = 450\)
• D) \(y = 5 x , x + y = 450\)
• E) \(x = 5 y , 10 x + 25 y = 450\)

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Definitions:

Mixed Costs

Expenses comprising both fixed and variable components, changing in total with the level of activity but not proportionately.

Merchandising Firm

A business that purchases finished goods for resale in order to make a profit, differentiating itself from manufacturing firms and service firms.

Gross Margin

The difference between sales revenue and the cost of goods sold, expressed as a percentage of sales revenue.

Contribution Margin

The amount remaining from sales revenue after variable expenses have been deducted; a measure of profitability.