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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
The price of each hair clip is ¢ 40 and the price of each hair band is
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24 Aug 2021, 05:23
24 Aug 2021, 05:23
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Question Stats:
37% (02:06) correct
62% (03:09) wrong based on 16 sessions
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The price of each hair clip is ¢ 40 and the price of each hair band is ¢ 60. Rashi selects a total of 10 clips and bands from the store, and the average (arithmetic mean) price of the 10 items is ¢ 56. How many bands must Rashi put back so that the average price of the items that she keeps is ¢ 52?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Intern
Joined: 25 Oct 2020
Posts: 20
Given Kudos: 9
Location: India
Concentration: Strategy, Finance
Re: The price of each hair clip is ¢ 40 and the price of each hair band is
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26 Aug 2021, 03:06
26 Aug 2021, 03:06
1
After using the simultaneous equations I found out the split of hair bands and clips to be 8 and 10 respectively when the average price is 56.
Then I just used the options and calculated to get the required average of 52.
Is there a faster way to get to the answer without looking at the answer choices
Then I just used the options and calculated to get the required average of 52.
Is there a faster way to get to the answer without looking at the answer choices
Re: The price of each hair clip is ¢ 40 and the price of each hair band is
[#permalink]
26 Aug 2021, 09:45
26 Aug 2021, 09:45
2
2 * clip_price + 8 * band_price
= 2 * 40 cent + 8 * 60 cent
= 80 cent + 480 cent
= 560 cent
Avg price 56 cent per item
4 * clip_price + 6 * band_price
= 4 * 40 cent + 6 * 60 cent
= 160 cent + 360 cent
= 520 cent
Avg price 52 cent per item.
So she need to put down = 8 - 6 = 2 bands (Answer is B).
Please reply in case of any error.
= 2 * 40 cent + 8 * 60 cent
= 80 cent + 480 cent
= 560 cent
Avg price 56 cent per item
4 * clip_price + 6 * band_price
= 4 * 40 cent + 6 * 60 cent
= 160 cent + 360 cent
= 520 cent
Avg price 52 cent per item.
So she need to put down = 8 - 6 = 2 bands (Answer is B).
Please reply in case of any error.
