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

Respuesta :

Answer:

Total number of texts sent by each person is as follows;

Jose=14

Bon=56

Ann=48

Step-by-step explanation:

Step 1

Express the total amount of texts sent by each person as shown;

Let the number of texts sent be;

Jose=x

Bon=4 times as Jose=4×x=4 x

Ann=sent 8 fewer than jose=4 x-8

Total texts sent=118

Step 2

Express 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 Ann

where;

Total texts sent=118

amount sent by Jose=x

amount sent by Bon=4 x

amount sent by Ann=4 x-8

replacing;

118=x+4 x+4x-8

118=9 x-8

118+8=9 x

9 x=126

x=126/9

x=14

Step 3

Substitute the value of x to get the number of texts sent by each individual;

amount sent by Jose=x=14

amount sent by Bon=4 x=(4×14)=56

amount sent by Ann=4 x-8=56-8=48

Total number of texts sent by each person is as follows;

Jose=14

Bon=56

Ann=48