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Before adding to her collection, Laura had 207 antique figurines store

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Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 16 May 2017, 12:05
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Question Stats:

64% (01:39) correct 36% (02:26) wrong based on 78 sessions

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Before adding to her collection, Laura had 207 antique figurines stored in 9 boxes. After adding to her collection, she had 386 figurines in 12 boxes. What was the approximate percent increase in the average number of figurines per box?

A. 9%
B. 33%
C. 40%
D. 50%
E. 86%

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Re: Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 16 May 2017, 14:42
1
average number of figurines per box before adding to her collection = 207/9 = 23
average number of figurines per box before after adding to her collection = 386/12 = 32.1

approximate percent increase in the average number of figurines per box = (32.1 - 23)*100/23

= 39.85%

Answer is C
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Re: Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 17 May 2017, 02:37
Average number of figurines before adding to her collection= \(\frac{207}{9}\)= 23
..............................................After ........................................= \(\frac{386}{12}\) = 32.1

Percent increase= \(\frac{Change}{Initial value}\)*100= \(\frac{32.1-23}{23}\)*100

= 39.85%

Answer: C.

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Re: Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 19 May 2017, 06:30
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SajjadAhmad wrote:
Before adding to her collection, Laura had 207 antique figurines stored in 9 boxes. After adding to her collection, she had 386 figurines in 12 boxes. What was the approximate percent increase in the average number of figurines per box?

A. 9%
B. 33%
C. 40%
D. 50%
E. 86%


When Laura had 207 antiques per box, her average was 207/9 = 23 antiques per box. When she added more, her new average was 386/12 = 32.16, which is about 32 per box. Let’s determine the percentage increase.

(32 - 23)/23 x 100

9/23 x 100 = 39.1 percent or about 40%.

Answer: C
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Re: Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 21 May 2017, 02:10
1
avg before addition =\(\frac{207}{9}\) = 23

avg after addition = \(\frac{386}{12}\) = 32.1

change = \(\frac{(32 - 23 )}{23} * 100\)

=>\(\frac{9}{23} * 100\)

To simplify calculation round off numerator to 10 and denominator to 25

=> 10 / 25 * 100 = 10 * 4 = 40 (approx)

Ans: C
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Re: Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 30 Nov 2019, 12:50
Hi All,

We're told that before adding to her collection, Laura had 207 antique figurines stored in 9 boxes and that after adding to her collection, she had 386 figurines in 12 boxes. We're asked for the APPROXIMATE PERCENT INCREASE in the average number of figurines per box. This question is based on some standard math formulas (Average & Percent Change) and the word "approximate" means that we can likely round-off some of the values and still get the correct answer.

The "before" average is 207/9 = 23
The "after" average is 386/12 = 32 1/6... which we can round down to 32

Percentage Change = (New - Old)/Old = (Difference)/(Original) = approximately 9/23

9/18 = 50% and 9/27 = 33 1/3%... 9/23 is BETWEEN those values, and there's only one answer that 'fits'....

Final Answer:

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Re: Before adding to her collection, Laura had 207 antique figurines store  [#permalink]

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New post 09 Dec 2019, 11:39
Top Contributor
SajjadAhmad wrote:
Before adding to her collection, Laura had 207 antique figurines stored in 9 boxes. After adding to her collection, she had 386 figurines in 12 boxes. What was the approximate percent increase in the average number of figurines per box?

A. 9%
B. 33%
C. 40%
D. 50%
E. 86%


Please note that the word approximate typically tells us that we can use some estimation during the solution

INITIAL SITUATION
207/9 = 23 figurines per box

AFTER ADDING TO COLLECTION
386/12 ≈ 32 figurines per box

Percent increase = (100)(new - old)/old
≈ (100)(32 - 23)/23
≈ (100)(9)/23
≈ 900/23
≈ 39

Answer: C

Cheers,
Brent
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Re: Before adding to her collection, Laura had 207 antique figurines store   [#permalink] 09 Dec 2019, 11:39
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