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Jessica, Chau, and Kareem sent a total of 84 text messages during the weekend. Kareem sent 4 times as many messages as Chau. Jessica sent 6 fewer messages than Chau. How many messages did they each send?

Respuesta :

devishri1977

Answer:

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

Step-by-step explanation:

Let number of messages sent by Chau = c

Number of messages sent by Kareem = 4 times as Chau

                                                                = 4 * c = 4c

Number of messages sent by Jessica = 6 fewer messages than Chau

                                                               = c - 6

Total messages = 84

c + 4c + c - 6 = 84                {Combine like terms}

6c - 6 = 84         {Add 6 to both sides}

6c  = 84 + 6

6c = 90   {Divide both sides by 6}

c = 90/6

c = 15

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9
Chau = 15
Kareem = 4*15 = 60
Jessica = 15-6 = 9

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