SOLUTION: PETER, JACK, AND SAM ARE RENTING AN APARTMENT TOGETHER.THEY HAVE TO PAY LANDLORD FIRST MONTH RENT AS WELL AS HALF MONTH RENT AS SECURITY DEPOSIT WHICH TOTALS TO $1800.JACK A

Algebra ->  Equations -> SOLUTION: PETER, JACK, AND SAM ARE RENTING AN APARTMENT TOGETHER.THEY HAVE TO PAY LANDLORD FIRST MONTH RENT AS WELL AS HALF MONTH RENT AS SECURITY DEPOSIT WHICH TOTALS TO $1800.JACK A      Log On


   

Question 1059103: PETER, JACK, AND SAM ARE RENTING AN
APARTMENT TOGETHER.THEY HAVE TO PAY LANDLORD
FIRST MONTH RENT AS WELL AS HALF MONTH RENT AS
SECURITY DEPOSIT WHICH TOTALS TO $1800.JACK AGREES TO
PAY DOUBLE OF PETER AND SAM AGREES TO PAY $200 MORE
THAN JACK, THAN HOW MUCH EACH IS PAYING AND WHAT IS MONTHLY RENT?
SHOW ALL STEPS AND INCLUDE A MODEL
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I don't like the way it is worded. I guess
" which totals to $1800 " means 1st month's rent
plus security deposit.
------------------------------------
Let +j+ = amount Peter is paying
Let +j+ = amount Jack is paying
Let +s+ = amount Sam is paying
-------------------------------------
(1) +j+=+2p+
(2) +s+=+j+%2B+200+%0D%0A%283%29+%7B%7B%7B+p+%2B+j+%2B+s+=+1800+
-------------------------
(1) +p+=+%281%2F2%29%2Aj+
Substitute (1) and (2) into (3)
(3) +p+%2B+j+%2B+s+=+1800+
(3) +%281%2F2%29%2Aj+%2B+j+%2B+j+%2B+200+=+1800+
(3) +%285%2F2%29%2Aj+=+1600+
(3) +j+=+%282%2F5%29%2A1600+
(3) +j+=+640+
and
(1) +p+=+%281%2F2%29%2Aj+
(1) +p+=+%281%2F2%29%2A640+
(1) +p+=+320+
and
(2) +s+=+j+%2B+200+%0D%0A%282%29+%7B%7B%7B+s+=+640+%2B+200+
(2) +s+=+840+
----------------------------
Peter spends $320
Jack spends $640
Sam spends $840
----------------------------
check:
(3) +p+%2B+j+%2B+s+=+1800+
(3) +320+%2B+640+%2B+840+=+1800+
(3) +1800+=+1800+
OK
-----------
Let +r+ = the rent
+r+%2B+%281%2F2%29%2Ar+=+1800+
+%283%2F2%29%2Ar+=+1800+
+r+=+%282%2F3%29%2A1800+
+r+=+1200+
The rent is $1.200/month