Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages

Question

2 years ago

13

than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?

1 answer:

lbvjy [14] · Answer 1 · 2022-03-26T13:20:36+03:00

9514 1404 393

Answer:

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

c + (c -7) +4(c -7) = 109

6c -35 = 109 . . . . . . . . . . simplify

6c = 144 . . . . . . . . . . . add 35

c = 24 . . . . . . . . . . . divide by 6

c-7 = 17

4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.