GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
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
[#permalink]
24 Aug 2021, 05:23
24 Aug 2021, 05:23
1
Expert Reply
00:00
Question Stats:
35% (02:06) correct
64% (03:10) wrong based on 17 sessions
Hide Show timer Statistics
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
[#permalink]
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.
