SOLUTION: LaToya Austin and Trey sent a total of 125 messages over their cell phone during the weekend Latoya sent seven more messages than Austin trey son four times as many as LaToya how

Question 1043544: LaToya Austin and Trey sent a total of 125 messages over their cell phone during the weekend Latoya sent seven more messages than Austin trey son four times as many as LaToya how many messages did each send ?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
LaToya, Austin, and Trey sent a total of 125 messages over their cell phone during the weekend. Latoya sent seven more messages than Austin; Trey sent four times as many as LaToya. How many messages did each send ?
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L + A + T = 125
L = A + 7
T = 4L
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Substitute for A and T and solve for "L"::
L + L-7 + 4L = 125
6L = 132
L = 22 (# of LaToya messages)
A = L-7 = 15 (# of Austin messages)
T = 4L = 88 (# of Trey messages)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of messages sent by Latoya
Let = number of messages sent by Austin
Let = number of messages sent by Trey
------------------------------------------
(1)
(2)
(3)
-----------------------
(2)
Plug (2) and (3) into (1)
(1)
(1)
(1)
and
(2)
(2)
and
(3)
(3)
-------------------
The number of messages sent by Latoya is 22
The number of messages sent by Austin is 15
The number of messages sent by Trey is 88
-------------------
check:
(1)
(1)
(1)
OK
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