Question

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?

Answer 1

Number of messages sent by Charmaine=x=12

Number of text messages sent by Ravi = x+7 = 12+7 = 19

Number of text messages sent by Deon = 4(x+7) = 19*4 = 76

Step-by-step explanation:

Let

x be the number of messages Charmaine sent

Then

Ravi sent 7 more messages than Charmaine = x+7

Deon sent 4 times as many messages as Ravi = 4(x+7)

In total they sent 107 messages

So,

$x+(x+7)+4(x+7)=107\\x+x+7+4x+28=107\\6x+35=107\\Subtracting\ 35\ from\ both\ sides\\6x+35-35=107-35\\6x=72\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{72}{6}\\x=12$

Number of messages sent by Charmaine=x=12

Number of text messages sent by Ravi = x+7 = 12+7 = 19

Number of text messages sent by Deon = 4(x+7) = 19*4 = 76

Keywords: Linear equations in one variable

Learn more about linear equations at:

• brainly.com/question/9590016
• brainly.com/question/9607945

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