Manal, Abdulrahman, and Eissa sent a total of 95 text messages over their cell phones during the weekend. Eissa sent 10 fewer messages than Manal. Abdulrahman sent 3 times as many messages as Eissa. How many messages did they each send?

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Step-by-step explanation:

Let tye number of messages that Manal sent be x.

Since Eissa sent 10 fewer messages than Manal, this will be:

= x - 10

Abdulrahman sent 3 times as many messages as Eissa. This will be:

= 3(x - 10) = 3x - 30

We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:

x + (x - 10) + (3x - 30) = 95

x + x - 10 + 3x - 30 = 95

x + x + 3x - 10 - 30 = 95

5x - 40 = 95

5x = 95 + 40

5x = 135

x = 135/5

x = 27

Manal = x = 27

Elisa = x - 10 = 27 - 10 = 17

Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages