Question

Elsa, Abdul, and Chang sent a total of 103 text messages during the weekend. Abdul sent 3 times as many messages as Chang. Elsa sent 8 more messages than Chang. How many messages did they each send?

A) Abdul: 27, Elsa: 30, Chang: 46
B) Abdul: 36, Elsa: 31, Chang: 36
C) Abdul: 38, Elsa: 46, Chang: 19
D) Abdul: 42, Elsa: 50, Chang: 11

Answer 1

Chang sent 19 messages, Abdul sent 57 messages, and Elsa sent 27 messages. The correct answer is Option C.

Step-by-step explanation:

Let's assume that Chang sent x messages.

According to the information given, Abdul sent 3 times as many messages as Chang, so Abdul sent 3x messages.

It is also stated that Elsa sent 8 more messages than Chang, so Elsa sent x + 8 messages.

Now we can set up an equation to represent the total number of messages sent: x + 3x + x + 8 = 103.

Combining like terms, we have 5x + 8 = 103.

Subtracting 8 from both sides, we get 5x = 95.

Dividing both sides by 5, we find that x = 19.

Therefore, Chang sent 19 messages, Abdul sent 3 * 19 = 57 messages, and Elsa sent 19 + 8 = 27 messages.

So the correct answer is: Abdul: 57, Elsa: 27, Chang: 19 (Option C).