Question

maya, kareem, and felipe sent a total of 57 text messages over their cell phones during the weekend. kareem sent 7 more messages than maya. felipe sent 2 times as many messages as kareem. how many messages did they each send? number of text messages maya sent: number of text messages kareem sent: number of text messages felipe sent:

Explanation:

Step1: Let the number of messages Maya sent be $x$.

Since Kareem sent 7 more messages than Maya, Kareem sent $x + 7$ messages. And since Felipe sent 2 times as many messages as Kareem, Felipe sent $2(x + 7)$ messages.

Step2: Set up an equation based on the total number of messages.

The total number of messages they sent is 57. So, $x+(x + 7)+2(x + 7)=57$.
Expand the equation: $x+x + 7+2x+14 = 57$.
Combine like - terms: $4x+21 = 57$.

Step3: Solve the equation for $x$.

Subtract 21 from both sides of the equation: $4x+21−21 = 57−21$, which gives $4x=36$.
Divide both sides by 4: $x=\frac{36}{4}=9$.

Step4: Find the number of messages each person sent.

Maya sent $x = 9$ messages.
Kareem sent $x + 7=9 + 7 = 16$ messages.
Felipe sent $2(x + 7)=2\times16 = 32$ messages.

Answer:

Number of text messages Maya sent: 9
Number of text messages Kareem sent: 16
Number of text messages Felipe sent: 32