Question

Karen, Chang, and Tony sent a total of 116 text messages during the weekend. Karen sent 9 fewer messages than Tony. Chang sent 3 times as many messages. How many messages did they each send?

Options:
A. Karen sent 25, Chang sent 75, and Tony sent 41 messages.
B. Karen sent 41, Chang sent 9, and Tony sent 66 messages.
C. Karen sent 41, Chang sent 75, and Tony sent 34 messages.
D. Karen sent 25, Chang sent 9, and Tony sent 82 messages.

Answer 1

Karen sent 25, Chang sent 75, and Tony sent 34 messages. Hence, option A) is correct.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say Tony sent x messages. Karen sent 9 fewer messages, so she sent x - 9 messages.

Chang sent 3 times as many messages, so he sent 3x messages. We can set up an equation to represent the total number of messages: x + (x - 9) + 3x = 116.

Simplifying, we get 5x - 9 = 116. Solving for x, we find x = 25. Therefore, Karen sent 25 messages, Chang sent 3x = 75 messages, and Tony sent x = 25 + 9 = 34 messages.