Question

Suppose that you have a huge cucumber that is 99% water (by weight). The cucumber weighs 100 pounds. If the water content of the cucumber evaporates until it is 98% water (by weight), then approximately how much does the cucumber now weigh?
a) 99 pounds
b) 96 pounds
c) 95 pounds
d) 50 pounds
e) 49 pounds
f) 98 pounds
g) 25 pounds

Answer 1

Answer on Question # 41974– Math - Algebra

Suppose that you have a huge cucumber that is 99% water (by weight). The cucumber weighs 100 pounds. If the water content of the cucumber evaporates until it is 98% water (by weight), then approximately how much does the cucumber now weigh?

a) 99 pounds

b) 96 pounds

c) 95 pounds

d) 50 pounds

e) 49 pounds

f) 98 pounds

g) 25 pounds

Solution:

Since the cucumber weighs 100 pounds and it consists 99% of water (by weight), then 99 pounds water is in cucumber and only 1 pound of something else. If the water content of the cucumber evaporates until it is 98% water (by weight), then we get that 1 pound of something else now is 2%. Hence, the whole cucumber weight (100%) is 50 pounds.

$$1 \text{ pound} - 2\%$$ $$x \text{ pounds} - 100\%$$

Hence, $x = \frac{100\% + 1}{2} = 50$ pounds.

Answer: d) 50 pounds.

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