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Charmaine, Dale, and Manuel sent a total of 82 text messages over their cell phones during the weekend. Manuel sent 8 more messages than Charmaine. Dale sent 3 times as many messages as Manuel. How many messages did they each send?

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lesliekolleroxrkcf
let#Charmaine be x. then #Manuel is 8+x and #Dales is 3(8+x). add them all to get 82

x + 8+x + 3(8+x)=82

8+2x + 24+3x =82

5x+32=82

5x=50

x=10

Charmaine sent 10, Manuel sent 18, and Dale sent 54

Charmaine sends 10 text, Dale sends 54 text, and Manuel sends 18 texts.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Charmaine (C), Dale (D), and Manuel (M) sent a total of 82 text messages over their cell phones during the weekend.

Then the equation will be

C + M + D = 82

Manuel sent 8 more messages than Charmaine.

C = M – 8

Dale sent 3 times as many messages as Manuel.

D = 3M

Put these value in equation, we have

M – 8 + M + 3M = 82

                    5M = 90

                       M = 18

Then the value of C and D will be

D = 3 x 18

D = 54

C = 18 – 8

C = 10

More about the linear system link is given below.

https://brainly.com/question/20379472

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