Question

Question #2a294

Answer 1

Tony 24, Jane 19, and Keith 76.

Explanation:

Let's call the number of messages sent by Tony `t`
Then Jane has sent `(t-5)` (5 less than Tony)
And Keith has sent `4( t - 5)`. (4 times as many as Jane)

Altogether they sent 119 texts, so we can write:

`t + ( t- 5 )+ 4( t - 5) = 119`

Expanding and simplifying we get

`t + t - 5 + 4t - 20 = 119`

`6t - 25 = 119`

`6t = 144`

`t = 24`

So Tony has sent 24 texts, Jane 19 (five less) and Keith 76 (four times as many as Jane).

Check `24 + 19 + 76 = 119`