# Question #2a294

Jan 16, 2017

Tony 24, Jane 19, and Keith 76.

#### Explanation:

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

Altogether they sent 119 texts, so we can write:

$t + \left(t - 5\right) + 4 \left(t - 5\right) = 119$

Expanding and simplifying we get

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

$6 t - 25 = 119$

$6 t = 144$

$t = 24$

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

Check $24 + 19 + 76 = 119$