SOLUTION: Suppose that 200 pounds of freshly picked cucumbers are 99% water by weight. After several days, some of the water from the cucumbers has evaporated, and the cucumbers are now 98%

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose that 200 pounds of freshly picked cucumbers are 99% water by weight. After several days, some of the water from the cucumbers has evaporated, and the cucumbers are now 98%       Log On


   

Question 538434: Suppose that 200 pounds of freshly picked cucumbers are 99% water by weight. After several days, some of the water from the cucumbers has evaporated, and the cucumbers are now 98% water. How much do the cucumbers weigh now?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
99% of 200 is:


.99*200=198lbs of water. That leaves 2lbs of "meat" (non water part of the cucumber...the actual vegetable part).


The equation can also be written as p*w=w-2 where p is the percentage water weight, w is the total weight, and 2 is the weight of the "meat".


In the new situation where the water weight is 98% that's


.98*w=w-2


Subtract w from both sides.


-.02w=-2


Divide both sides by -.02.


w=100.


After evaporation, the cucumbers weigh only 100 lbs. 2 lbs of that is meat, and 98 pounds is water.

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