Text Messages Conundrum: Solving the Weekend Mystery
How many messages did Karen, Ali, and Ryan each send over the weekend?
Given that Karen, Ali, and Ryan sent a total of 93 text messages during the weekend. Ali sent 7 fewer messages than Karen. Ryan sent 3 times as many messages as Karen. How many messages did they each send?
Final Answer:
The problem requires setting up an equation based on the information given about the text messages sent by Karen, Ali, and Ryan. After solving the equation, we determine the number of messages each person sent. It appears there may be a typo in the answer options provided, as none match the calculated results.
The student's question involves solving a system of equations to determine how many text messages Karen, Ali, and Ryan each sent over the weekend. The problem states that the total number of messages sent by all three individuals is 93. Additionally, Ali sent 7 fewer messages than Karen, and Ryan sent 3 times as many messages as Karen.
To solve this problem, let's define the variable K as the number of messages Karen sent. Accordingly, Ali sent K - 7 messages, and Ryan sent 3K messages. The sum of these messages equals the total number of messages sent, which is 93.
Using this information, we can set up the following equation:
K + (K - 7) + 3K = 93
Solving this equation, we have:
5K - 7 = 93
5K = 100
K = 20
Therefore, Karen sent 20 messages, Ali sent 20 - 7 = 13 messages, and Ryan sent 3 × 20 = 60 messages. However, none of the provided options (A, B, C, or D) matches these results. This suggests there may be a typo or error in the options given.