Question

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?

Answer 1

Chau = 15
Kareem = 4*15 = 60
Jessica = 15-6 = 9

Answer 2

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