Tammy, Jose, and bill sent a total of 107 text messages during the weekend. Bill sent 4 times as many as Tammy. Jose sent 7 fewer messages than Tammy. How many messages did they each send?

Respuesta :

Tammy: 19 Bill: 76 Jose: 12

Let the # of messages Tammy sent = x

x + 4x + (x-7) = 107

Answer:

Tammy sent 19 messages.

Bill sent 76 messages.

Jose sent  12 messages.

Step-by-step explanation:

No. of messages sent by Tammy = x

No. of messages sent by Bill  = 4*x = 4x

No. of messages sent by Jose = x - 7

x + 4x + x - 7 = 107

6x - 7 = 107

        6x = 107 + 7  

   6x = 114

      x = 114/6

     x = 19

No. of messages sent by Tammy = x = 19

No. of messages sent by Bill  = 4x = 4 * 19  =  76

No. of messages sent by Jose = x - 7 = 19 - 7 = 12