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Bunuel
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Clara collects stamps from foreign countries. In June, she gave 20 pe 29 Dec 2014, 08:48
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Tough and Tricky questions: Word Problems.



Clara collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend Ricky. In July, she gave 25 percent of her remaining stamps to Alex. If these were the only changes in the number of stamps in Clara’s collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?

A. 32%
B. 36%
C. 40%
D. 45%
E. 60%


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C
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Clara collects stamps from foreign countries. In June, she gave 20 pe 29 Dec 2014, 10:21
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This question is easy if we pick numbers. Clara starts with 100 stamps and then gives away 20% or twenty stamps. She is left with 80 stamps and gives away another 25% of those. 25% of 80 are again 20, so she keeps 60 stamps or 60% of her original collection. We can conclude that she gave away 40% of her stamps. Answer C.
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Clara collects stamps from foreign countries. In June, she gave 20 pe 30 Dec 2014, 10:58
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Bunuel

Tough and Tricky questions: Word Problems.



Clara collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend Ricky. In July, she gave 25 percent of her remaining stamps to Alex. If these were the only changes in the number of stamps in Clara’s collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?

A. 32%
B. 36%
C. 40%
D. 45%
E. 60%


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Percentage of stamps gave away on June 20% remaining 80%
Percentage of stamps gave away on July 25% of 80% = 80*.25 = 20% of original

Total percentage of stamps gave away = 20% + 20% = 40%

C
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Clara collects stamps from foreign countries. In June, she gave 20 pe 30 Dec 2014, 20:07
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Answer = C. 40%

Say initial stamps = 100

Given in June \(= \frac{100*20}{100} = 20\)

Balance = 80

Given in July \(= \frac{80*25}{100} = 20\)

Balance = 60

Total given = 20+20 = 40
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Clara collects stamps from foreign countries. In June, she gave 20 pe 08 Jan 2015, 08:14
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Bunuel

Tough and Tricky questions: Word Problems.



Clara collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend Ricky. In July, she gave 25 percent of her remaining stamps to Alex. If these were the only changes in the number of stamps in Clara’s collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?

A. 32%
B. 36%
C. 40%
D. 45%
E. 60%


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OFFICIAL SOLUTION:

(C) First, Clara gave away 20% of her stamps, which means she kept 80%. Then, she gave away 25% of her remaining collection, so she was left with 75% of 80% of her original collection. To determine how many stamps she had left, multiply the two amounts:(80%)(75%) = 60%.

Thus, if Clara kept 60% of her stamps, then she gave away 40% of the original number.

The correct answer is choice (C).

Alternate Solution (Algebraic):

Let X be the original number of stamps in Clara's collection. She gave away 20% or 0.20X, and then gave away 25% of her remaining collection, or 0.25(0.8X).

If we add these two together we get the percent of her collection that she gave away:
0.20X + 0.25(0.8X) = 0.20X + 0.20X= 0.40X

Again we see that Clara gave away 40% of her collection in June and July.
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Clara collects stamps from foreign countries. In June, she gave 20 pe 15 Dec 2018, 18:53
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