Q:

Ann, jose, and bob sent a total of 118 text messages during the weekend. Bon sent 4 times many messages as jose. Ann sent 8 fewer than jose. How many messages did they each send

Accepted Solution

A:
Answer:Total number of texts sent by each person is as follows;Jose=14Bon=56Ann=48Step-by-step explanation:Step 1Express the total amount of texts sent by each person as shown;Let the number of texts sent be;Jose=xBon=4 times as Jose=4×x=4 xAnn=sent 8 fewer than jose=4 x-8Total texts sent=118Step 2Express the total number of texts sent by all of them as show;Total texts sent=amount sent by Jose+amount sent by Bon+amount sent by Annwhere;Total texts sent=118amount sent by Jose=xamount sent by Bon=4 xamount sent by Ann=4 x-8replacing;118=x+4 x+4x-8118=9 x-8118+8=9 x9 x=126x=126/9x=14Step 3Substitute the value of x to get the number of texts sent by each individual;amount sent by Jose=x=14amount sent by Bon=4 x=(4×14)=56amount sent by Ann=4 x-8=56-8=48Total number of texts sent by each person is as follows;Jose=14Bon=56Ann=48