Question

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 1

78 emails

Explanation:

Given

Represent sent emails with x and received with y.

So, we have:

`x + y = 114` -- First statement

`y = 6 + 2x` -- Second statement

Required

Determine the number of emails received (y)

Make x the subject in
`x + y = 114`

`x = 114 - y`

Substitute 114 - y for x in
`y = 6 + 2x`

`y = 6 + 2(114 - y)`

Open bracket

`y = 6 + 228 - 2y`

Collect Like Terms

`2y+y = 6 + 228`

`3y = 234`

Divide by 3

`y = 234/3`

`y = 78`