how many text message did EACH person send

Algebra
Tutor: None Selected Time limit: 1 Day

dan hong and Justin sent a total of 123 text messages during the weekend hong sent 4 times as many messages as Justin dan sent 9 more messages than Justin how many messages did Each send

Sep 11th, 2015

Thank you for the opportunity to help you with your question!

let 

no of messages sent by dans= x

 no of messages sent by hong = y

no of  messages sent by justin= z


so,

dan hong and Justin sent a total of 123 text messages ,so

x+y+z =123

 hong sent 4 times as many messages as Justin 

y = 4 z

dan sent 9 more messages than Justin 

x= z + 9

these are the equations


now substitute x= z + 9, y = 4 z  in x+y+z =123

then

z+9 + 4z + z =123

6z + 9 =123

z = 114 /6

z =19 ...................................ANSWER


y = 4 z = 4*19 = 76

y= 76......................ANSWER


x= z + 9

x = 19+9

x  = 28...........................ANSWER



ANSWER

dan sent 28 messages

hong sent 76 messages

and Justin sent 19 messages



Please let me know if you need any clarification. I'm always happy to answer your questions.....thank you
Sep 11th, 2015

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