SOLUTION: 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 m

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,...
.
.
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(52810)   (Show Source): You can put this solution on YOUR website!
.

Ignore the post by @Mananth, since it is   T O T A L L Y   W R O N G.

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