SOLUTION: A roll of carpet 9 ft wide is 30 ft longer than a roll of carpet 15 ft wide. Both rolls have the same area. Make a sketch of the unrolled carpets and find the dimensions of each.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A roll of carpet 9 ft wide is 30 ft longer than a roll of carpet 15 ft wide. Both rolls have the same area. Make a sketch of the unrolled carpets and find the dimensions of each.      Log On


   

Question 658204: A roll of carpet 9 ft wide is 30 ft longer than a roll of carpet 15 ft wide. Both rolls have the same area. Make a sketch of the unrolled carpets and find the dimensions of each.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the length of the 15' wide carpet
given:
+x+%2B+30+ = the width of the 9' wide carpet
Area for each is length x width, so
+15x+=+9%2A%28+x+%2B+30+%29+
+15x+=+9x+%2B+270+
+6x+=+270+
+x+=+45+
+x+%2B+30+=+75+
The carpets are
15 x 45
and
9 x 75
-------
check:
+15%2A45+=+675+
+9%2A75+=+675+
OK