Word Problem/ linear equation: Two friends rent an apartment

FMMurphy

Junior Member
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Mar 12, 2006
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Could you help me get started on this word problem. I think I can work it out once I have it set up.

Two friends rent an apartment for $975 per month. Since one bedroom is 60 sq ft more than the other bedroom each person's rent contribution is based on bedroom size. Each person agrees to pay $3.25 per square foot of bedroom area. Let x be the area (in square feet) of the larger bedroom, and let y be the area (in square feet) of the smaller bedroom. Write and solve a system of linear equations to find the area of each bedroom.
 
x=sq. ft. of large room
y=sq ft. of small room

x is 60 sq ft larger than the small room: x=y+60

\(\displaystyle 3.25(y+60)+3.25y=975\)

solve for y, x will follow.
 
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