Question

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?

Answer 1

Tammy: 19 Bill: 76 Jose: 12

Let the # of messages Tammy sent = x

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

Answer 2

Tammy sent 19 messages.

Bill sent 76 messages.

Jose sent 12 messages.

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