SOLUTION: Maria, Joe and Lamar sent a total of 79 text messages over their cell phones during the weekend. Lamar sent 7 fewer messages than Maria. Joe sent 2 times as many messages as Lamar.
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Question 1026770: Maria, Joe and Lamar sent a total of 79 text messages over their cell phones during the weekend. Lamar sent 7 fewer messages than Maria. Joe sent 2 times as many messages as Lamar. How many messages did they each send?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make Maria's number of texts = x
Lamar sent 7 fewer messages than Maria.
Lamar sent (x - 7) texts
Joe sent 2 times as many messages as Lamar.
Joe sent 2(x - 7) texts.
Add the texts up:
x + x - 7 + 2(x - 7)= 79
x + x - 7 + 2x - 14 = 79
Collect like terms:
x + x + 2x = 79 + 7 + 14
4x = 100
x = 25
Maria sent 25 texts
Lamar sent 18 texts
Joe sent 36 texts.
Hope this helps :-)
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