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

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 = 19+9

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

ANSWER

dan sent 28 messages

hong sent 76 messages

and Justin sent 19 messages

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