Q:

Charmaine, Ravi, and Deon sent a total of 107 text messages over their call phones during the weekend. Ravi sent 7 more messages than Charmaine. Deon sent 4 times as many messages as Ravi. How many messages did they each send?

Accepted Solution

A:
Number of messages sent by Charmaine=x=12Number of text messages sent by Ravi = x+7 = 12+7 = 19Number of text messages sent by Deon = 4(x+7) = 19*4 = 76Step-by-step explanation:Letx be the number of messages Charmaine sentThenRavi sent 7 more messages than Charmaine = x+7Deon sent 4 times as many messages as Ravi = 4(x+7)In total they sent 107 messagesSo,[tex]x+(x+7)+4(x+7)=107\\x+x+7+4x+28=107\\6x+35=107\\Subtracting\ 35\ from\ both\ sides\\6x+35-35=107-35\\6x=72\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{72}{6}\\x=12[/tex]Number of messages sent by Charmaine=x=12Number of text messages sent by Ravi = x+7 = 12+7 = 19Number of text messages sent by Deon = 4(x+7) = 19*4 = 76Keywords: Linear equations in one variableLearn more about linear equations at:brainly.com/question/9590016brainly.com/question/9607945#LearnwithBrainly