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A small coffee distributer spends $7860 per month on business expenses and $4.25 to produce each bag of coffee. It charges $12 for one bag of coffee. How many bags of coffee must the company sell in one month in order for its sales to equal its monthly cost?

Respuesta :

MrRoyal

Answer:

1014 bags

Step-by-step explanation:

Given

[tex]Expenses = \$7860[/tex]

[tex]Cost\ Price = \$4.25[/tex]

[tex]Selling\ Price = \$12[/tex]

Required

Determine the number of bags

Represent the number of bags with n

Cost price of n bags is: $4.25 * n.

Total Expenses is: $7860 + $4.25 * n

Selling Price of n bags is: $12 * n

The equation to calculate n is:

[tex]Total\ Expenses = Selling\ Price[/tex]

[tex]7860 + 4.25n = 12n[/tex]

Collect Like Terms

[tex]12n - 4.25n = 7860[/tex]

[tex]7.75n = 7860[/tex]

Solve for n

[tex]n = 7860/7.75[/tex]

[tex]n = 1014.19354839[/tex]

[tex]n = 1014[/tex] approximated

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