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# Mark bought a set of 6 flower pots of different sizes at a

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Intern
Joined: 25 Aug 2008
Posts: 30
Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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14 Oct 2008, 17:21
2
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19
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45% (medium)

Question Stats:

71% (01:45) correct 29% (01:56) wrong based on 547 sessions

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Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot? A.$1.75
B. $1.85 C.$2.00
D. $2.15 E.$2.30
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Oct 2012, 02:17, edited 2 times in total.
Renamed the topic and edited the question. Moved to PS forum.
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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14 Oct 2008, 17:29
6
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C

6x+.25+.5+.75+1.0+1.25 = 8.25
6x = 4.5
x = .75

Largest is x +1.25 = 2.00
Retired Moderator
Joined: 05 Jul 2006
Posts: 1741

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15 Oct 2008, 02:51
1
KUDOS
[quote="Poots"]Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot? A.$1.75
B. $1.85 C.$2.00
D. $2.15 E.$2.30

x+(x+0.25)+(x+2*0.25)........

6x+0.25*15 = 8.25

x = 0.75, largest pot = 0.75+0.25*5 = 2.00....c
Intern
Joined: 28 Jan 2012
Posts: 2
Location: Viet Nam
Concentration: Entrepreneurship, Nonprofit
GMAT 1: 650 Q47 V33
GPA: 3.7
WE: Investment Banking (Non-Profit and Government)
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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30 Oct 2012, 02:03
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x denotes for the price of the largest pot

x + (x - 0.25) + (x-2*0.25) + ...... (x -5*0.25) = 8.25
6x - 0.25*(1 +2.+3+4+5) = 8.25
6x -3.75 = 8.25
6x = 12
x = 2

Math Expert
Joined: 02 Sep 2009
Posts: 44319
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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30 Oct 2012, 02:27
2
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Expert's post
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Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot? A.$1.75
B. $1.85 C.$2.00
D. $2.15 E.$2.30

Notice that the prices are are evenly spaced, with common difference of 0.25. Now, for every evenly spaced set (average)=(first+last)/2=(sum)/(number of terms).

Now, if we say that the price of the largest pot is $x, then the price of the smallest pot is$(x-5*0.25) and we'll have that $$\frac{x+x-1.25}{2}=\frac{8.25}{6}$$ --> $$2x-1.25=\frac{8.25}{3}$$ --> $$x=2$$.

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Manager
Joined: 01 Jan 2013
Posts: 61
Location: India
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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25 Oct 2013, 23:09
2
KUDOS
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot? A.$1.75
B. $1.85 C.$2.00
D. $2.15 E.$2.30

Sum = Avg x n
8.25 = (x1 + x6)/2 X 6
x1 + x6 = 2.75------1

x6 = x1 + 5X0.25------2

solving 1 & 2
x6 = 2.00
Intern
Joined: 07 Jul 2012
Posts: 3
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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06 Jan 2014, 05:42
1
KUDOS
Hi Brunel,
If i say price of smallest pot be x ,then price of largest pot will be x+ 5(0.25)=x+1.25
Now,if i put this in (average)=(first+last)/2=(sum)/(number of terms).

I will get the other equation:
x+1.25+x
----------- = 8.25
2 ------
6
and this will give a different answer.
Can you please explain if i am doing anything wrong here?[quote][/quote]
Director
Joined: 03 Feb 2013
Posts: 944
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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06 Jan 2014, 09:07
1
KUDOS
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot? A.$1.75
B. $1.85 C.$2.00
D. $2.15 E.$2.30

Instead of using the equation, lets use some common sense.
8.25/6 = 1.4XX (approx)
Now as there are 6 items , 1.4XX should be between 3rd pot cost and 4th pot cost.
Take the simplest option to verify, option c)
if 6th pot is 2.00, 5th should 1.75, 4th should be 1.5 and 3rd should be 1.25. 1.5 + 1.25 comes to 1.42 close to previously calculated.
Just to be sure, lets take 2.15, then 4th pot should be 1.65 and 3rd pot should be 1.4, average of 3rd and 4th > 1.4. Option C)

if GMAT gives options why not use it.
_________________

Thanks,
Kinjal

My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961

Intern
Joined: 21 Feb 2015
Posts: 27
Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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21 Mar 2015, 07:36
3
KUDOS
The most easiest way to approach this problem is
let x be the largest pot then

x+(x-$.25)[5th pot]+(x-$.50)[4th pot]+(x-$.75)[3rd pot]+(x-$1)[2nd pot]+(x+-1.25)[1st pot] = $8.25 6x -$3.75 = $8.25 6x=$8.25+$3.75 6x =$12
x=$2 Boom! EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 11270 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink] ### Show Tags 21 Mar 2015, 11:57 1 This post received KUDOS Expert's post Hi All, This question can be solved with a handful of different Algebra approaches (as has been shown in the various posts). Since the question asks for the price of the largest pot, and the answers are prices, we can TEST THE ANSWERS. We're told that there are 6 pots and that each pot costs 25 cents MORE than the next. The total price of the pots is$8.25. We're asked for the price of the largest (most expensive) pot.

Since the total price is $8.25 (a 25-cent increment) and the the difference in sequential prices of the pots is 25 cents, the largest pot PROBABLY has a price that is a 25-cent increment. From the answer choices, I would then TEST Answer C first (since answers B and D are NOT in 25-cent increments). IF.... The largest pot =$2.00
The other 5 pots are....
1.75
1.50
1.25
1.00
0.75
Total = $8.25 So this MUST be the answer. Final Answer: [Reveal] Spoiler: C GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Intern
Joined: 30 Apr 2015
Posts: 7
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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10 Nov 2016, 11:12
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot? A.$1.75
B. $1.85 C.$2.00
D. $2.15 E.$2.30

Well do have a formulae for the Sum of the numbers in A.P
Sn= n[2a + (n-1)d] / 2
where Sn=sum of the numbers in AP
a = fist term (over here assume to be "x")
n= numbers of terms (over here it is 6)
d= common difference (over here it is 0.25)

Equating "x" we'll get as x=first term = 0.75
so highest term or the last term = 2.0
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Posts: 6525
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

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12 Nov 2017, 05:22
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Re: Mark bought a set of 6 flower pots of different sizes at a   [#permalink] 12 Nov 2017, 05:22
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