17.7k views
2 votes
kaitlin, john and carlos sent a total of 109 text messages during the weekend. kaitlin sent 7 more messages than carlos. John 4 times as many messages as carlos How many messages did they each send?number of text messages kaitlin sent=number of text messages john sent =number of text messages carlos sent =

User Pantulis
by
4.6k points

1 Answer

3 votes

let k be Kaitlin, j be John and c be Carlos. We get that


\begin{gathered} k+j+c=109 \\ k=c+7 \\ j=4c \end{gathered}

so we get that


\begin{gathered} c+7+4c+c=109 \\ 6c=109-7=102 \\ c=(102)/(6)=17 \end{gathered}

so carlos sent 17 messages. Kaitlin sent 24 and John 68

User James Walsh
by
4.7k points