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

_________________

Jeffery Miller

Head of GMAT Instruction

GMAT Quant Self-Study Course

500+ lessons 3000+ practice problems 800+ HD solutions