shrive555 wrote:
Each of the cucumbers in 100 pounds of cucumbers is composed of 99% water, by weight. After some of the water evaporates, the cucumbers are now 98% water by weight. What is the new weight of the cucumbers, in pounds?
A. 2
B. 50
C. 92
D. 96
E. 98
We see that 99 pounds is water and 1 pound is cucumber. Letting w = the number of pounds of water that evaporates, we can create the following equation:
(99 - w)/(100 - w) = 98/100
Cross-multiplying, we have:
100(99 - w) = 98(100 - w)
9900 - 100w = 9800 - 98w
100 = 2w
50 = w
The cucumbers have lost 50 pounds of water, so the new weight of the cucumbers is 100 - 50 = 50 pounds.
Answer: B
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