Setup the equations that represent this word problem. You are buying condos to r

Question

Setup the equations that represent this word problem.  

You are buying condos to rent out to students. The selling price of the condos and the rent of the condos are given in the table. You have  $805,000 to invest in the properties(you will spend all of this money) and you will would like make $12,600 each month from the rent of the condos.

Variables:
x = total amount of money spent on one bedroom condos
y = total amount of money spent on two bedroom condos
z = total amount of money spent on three bedroom condos

Set up the Equations

Investment:

Rent:

Selling
Price Rent One Bedroom $45,000 $500 Two Bedroom $60,000 $800 Three Bedroom $70,000 $1,300

Explanation / Answer

Let a,b,c be the number of single bedroom,double bedroom,triple bedroom respectively.

x=45000*a

y=60000*b

z=70000*c

Investment:x+y+z=805000=45000a+60000*b+70000*c

Rent:500*a+800*b+1300*c=12600

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