Question 1179543: Miranda, Ramiro, and Gabriel sent a total of 109 text messages during the weekend. Gabriel sent 2 times as many messages as Ramiro. Miranda sent 9 more messages than Ramiro. How many messages did they each send?
Found 3 solutions by josgarithmetic, mananth, ikleyn:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website!
Miranda r+9
Ramiro r
Gabriel 2r
TOTAL 109
Look at the table of data carefully. You could manage in your head,  , and divide both sides by 4:
 for Ramiro,...
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Answer by mananth(16946)  (Show Source):
You can put this solution on YOUR website! Miranda, Ramiro, and Gabriel sent a total of 109 text messages during the weekend. Gabriel sent 2 times as many messages as Ramiro. Miranda sent 9 more messages than Ramiro.
let m,r, g be the messages sent by them
m+r+g =109
Gabriel sent 2 times as many messages as Ramiro
g=2r,
Miranda sent 9 more messages than Ramiro.
m=r+9
substitute g & m in (1)
r+9 +2r+r=169
4r = 160
r=40
m=49
g= 80
Answer by ikleyn(52809)  (Show Source):
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