Question

martina, tom, and ravi sent a total of 120 text messages over their cell phones during the weekend. tom sent 4 times as many messages as ravi. ravi sent 6 fewer messages than martina. how many messages did they each send? number of text messages martina sent: number of text messages tom sent: number of text messages ravi sent:

Explanation:

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

Given Ravi sent 6 messages, so $x = 6$.

Step2: Find the number of messages Tom sent.

Tom sent 4 times as many messages as Ravi. So the number of messages Tom sent is $4\times x=4\times6 = 24$.

Step3: Let the number of messages Martina sent be $y$.

The total number of messages they sent is 120. So $x + 4x+y=120$. Substitute $x = 6$ into the equation: $6+24 + y=120$.

Step4: Solve for $y$.

First simplify the left - hand side: $30 + y=120$. Then subtract 30 from both sides: $y=120 - 30=90$.

Answer:

Number of text messages Ravi sent: 6
Number of text messages Tom sent: 24
Number of text messages Martina sent: 90