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29 votes
29 votes
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?

User Clay Risser
by
3.2k points

2 Answers

13 votes
13 votes
Chau = 15
Kareem = 4*15 = 60
Jessica = 15-6 = 9
User Shelda
by
2.8k points
18 votes
18 votes

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

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

User Sazary
by
2.8k points
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