In a certain year, the average e-mail user sent or received 114 e-mails each day. The number of e-mails received was 6 more then twice the number sent. How many were sent and how many were received each day?

Answer:

78 emails

Step-by-step explanation:

Given

Represent sent emails with x and received with y.

So, we have:

[tex]x + y = 114[/tex] -- First statement

[tex]y = 6 + 2x[/tex] -- Second statement

Required

Determine the number of emails received (y)

Make x the subject in [tex]x + y = 114[/tex]

[tex]x = 114 - y[/tex]

Substitute 114 - y for x in [tex]y = 6 + 2x[/tex]

[tex]y = 6 + 2(114 - y)[/tex]

Open bracket

[tex]y = 6 + 228 - 2y[/tex]

Collect Like Terms

[tex]2y+y = 6 + 228[/tex]

[tex]3y = 234[/tex]

Divide by 3

[tex]y = 234/3[/tex]

[tex]y = 78[/tex]

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June 1: Than Nguyen, the owner, invested $158,000 cash, office equipment with a value of $19,500, and $89,000 of drafting equipment to launch the company in exchange for common stock.

June 2: the company purchased land worth $63,500 for an office by paying $26,000 cash and signing a long-term note payable for $36,900.

June 2: The company purchased a portable building with $40,500 cash and moved it onto the land acquired on June 2.

June 2: The company paid $11,700 cash for the premium on a 15-month insurance policy.

June 7: The company completed and delivered a set of plans for a client and collected $17,800 cash.

June 12: The company purchased $37,400 of additional drafting equipment by paying $24,000 cash and signing a long-term note payable for $13,400.

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June 17: The company completed engineering services for $27,000 on credit.

June 18: The company revived a bill for rent of equipment that was used on a recently completed job. The $2,750 rent cost must be paid within 30 days.

June 20: The company collected $18,600 cash in partial payment from the client billed on June 14.

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June 23: The company paid $2,600 cash to settle the account payable created on June 15.

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June 28: The company paid $2,000 cash for wages to a drafting assistant.

June 30: The company paid $3,660 cash for advertisements on the web during June.

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D.) straight-line depreciation on the building, assuming a 25 year life and a $1,500 salvage value, is $130 per month.

E.) the balance in prepaid insurance represents a 15 month policy that went into effect on June 1.

F.) Accrued interest on the long-term note payable is $190.

G.) the drafting assistant is paid $2,000 for a 5 day work week. 2 days’ wages have been incurred but are unpaid as of month end.

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