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

Answer:

78 emails

Step-by-step 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

$y = 234/3$

$y = 78$