Question

Maya, Alan, and Felipe sent a total of 101 text messages during the weekend. Felipe sent 4 times as many messages as Maya. Alan sent 7 fewer messages than Maya. How many messages did they each send?

a) Maya: 20, Alan: 13, Felipe: 68
b) Maya: 18, Alan: 11, Felipe: 72
c) Maya: 22, Alan: 15, Felipe: 64
d) Maya: 24, Alan: 17, Felipe: 60

Answer 1

Maya sent 18 messages, Alan sent 11 messages, and Felipe sent 72 messages.

Step-by-step explanation:

In this problem, we have three people: Maya, Alan, and Felipe, who sent a total of 101 text messages during the weekend. We're given that Felipe sent 4 times as many messages as Maya, and Alan sent 7 fewer messages than Maya.

Let's start by assigning variables to each person's number of messages.

Let M represent the number of messages sent by Maya. Since Felipe sent 4 times as many messages as Maya, Felipe sent 4M messages. And since Alan sent 7 fewer messages than Maya, Alan sent M - 7 messages.

We can set up an equation based on the information given: M + 4M + (M - 7) = 101. Simplifying the equation, we get 6M - 7 = 101. Adding 7 to both sides, we get 6M = 108. Dividing both sides by 6, we find that M = 18.

Therefore, Maya sent 18 messages, Alan sent 18 - 7 = 11 messages, and Felipe sent 4 * 18 = 72 messages.