SOLUTION: Regina, Gabriel, and Felipe sent a total of 103 text messages during the weekend. Regina sent 7 more messages than Felipe. Gabriel sent 4 times as many messages as Felipe. How ma

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Regina, Gabriel, and Felipe sent a total of 103 text messages during the weekend. Regina sent 7 more messages than Felipe. Gabriel sent 4 times as many messages as Felipe. How ma      Log On

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Question 1179499: Regina, Gabriel, and Felipe sent a total of 103 text messages during the weekend. Regina sent 7 more messages than Felipe. Gabriel sent 4 times as many messages as Felipe. How many messages did they each send?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given information compares the numbers of messages from both Regina and Gabriel to the number sent by Felipe. So use the number sent by Felipe as the variable.

let x = # sent by Felipe
then x+7 = # sent by Regina
and 4x = # sent by Gabriel

The total number of messages was 103:

(x)+(x+7)+(4x) = 103

Solve using basic algebra....