Question #2a294

1 Answer
Jan 16, 2017

Answer:

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#