Description
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
Explanation & Answer
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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
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