Question

Latoya, Ravi, and Kareem sent a total of 81 text messages during the weekend. Ravi sent 2 times as many messages as Kareem. Latoya sent 5 more messages than Kareem. How many messages did they each send?

Answer 1

Below in bold.

Explanation:

Suppose Kareem has sent x messages.

Then Ravi has sent 2x messages and Letoya has sent x+5 message. So:

x + 2x + x + 5 = 81

4x = 81 - 5 = 76

x = 76/4 = 19.

So Kareem sent 19 messages, Ravi sent 38 and Letoya sent 24.

Checking: 19 + 38 + 24 = 81.