SOLUTION: Jack collected $270 in weekly rentals over a period of time for the smaller of the two apartments and $320 for the larger the larger apartment rented for $10 per week more than the

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Question 1116816: Jack collected $270 in weekly rentals over a period of time for the smaller of the two apartments and $320 for the larger the larger apartment rented for $10 per week more than the other but it was vacant for one week during the period what was the weekly rental for each apartment
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the weekly rent for the smaller apartment; then x+10 is the weekly rent for the larger.

Let y be the number of weeks the smaller apartment was rented; then y-1 is the number of weeks the larger one was rented.

Then the problem tells us

(1) xy+=+270
(2) %28x%2B10%29%28y-1%29+=+320

Expand the expression on the left in (2):
xy%2B10y-x-10+=+320
xy%2B10y-x+=+330

Subtract (1) from this...
10y-x+=+60
x+=+10y-60

Substitute this in (1) to solve for y.

I leave the rest to you. You should find the smaller apartment was rented for 9 weeks at $30 per week and the larger for 8 weeks at $40 per week.