SOLUTION: three students are planning to rent an apartment for a year and share equally in the rent. By adding fourth person, each person could $75 each month. How much is the monthly rent?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: three students are planning to rent an apartment for a year and share equally in the rent. By adding fourth person, each person could $75 each month. How much is the monthly rent?       Log On


   

Question 997630: three students are planning to rent an apartment for a year and share equally in the rent. By adding fourth person, each person could $75 each month. How much is the monthly rent? Could you please show me how you did it so I can understand how you solved it? Thanks!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the monthly rent
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+x%2F3+-+75+=+x%2F4+
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In words:
[ each of the 3 students share minus $75 each ] = [ each students share if there are 4 ]
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Multiply both sides by +12+
+4x+-+900+=+3x+
+x+=+900+
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The rent is $900/month
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check:
+x%2F3+-+75+=+x%2F4+
+900%2F3+-+75+=+900%2F4+
+300+-+75+=+225+
+225+=+225+
OK