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12 Jul 2018, 05:47
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Difficulty:

15% (low)

Question Stats:

87% (00:42) correct 13% (01:02) wrong based on 23 sessions

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A certain store sells two types of pens: one type for $2 per pen and the other type for$3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy? A. 9 B. 10 C. 11 D. 12 E. 20 _________________ Director Joined: 31 Oct 2013 Posts: 578 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) A certain store sells two types of pens: one type for$2 per pen and  [#permalink]

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12 Jul 2018, 05:56
Bunuel wrote:
A certain store sells two types of pens: one type for $2 per pen and the other type for$3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy? A. 9 B. 10 C. 11 D. 12 E. 20 As 2 is the lower price between 2 types of pens we have to buy max pen spending 2$ types in order to maximize the no. of pens.

So, 11 * 2$+$3 = 25 $Total no of pens = 11 + 1 =12 thus the best answer is D. It's mentioned in the question paper that a buyer can spend up to 25$.
Manager
Joined: 13 Feb 2018
Posts: 131
Re: A certain store sells two types of pens: one type for $2 per pen and [#permalink] ### Show Tags 12 Jul 2018, 05:59 If the only goal is to purchase as many pens as possible and quality doesn't matter pick up the cheap pens for$24 you can purchase twelve $2 pens P.S please prompt me what exactly "up to$25" means: $$<=25$$ or $$<25$$
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2014
Re: A certain store sells two types of pens: one type for $2 per pen and [#permalink] ### Show Tags 12 Jul 2018, 06:07 Solution Given: • One type of pen costs$2 per pen.
• Another type of pen costs $3 per pen. To find: • Greatest number of pens a customer can buy if the customer spend up to$25.

Approach and Working:

• Greatest number of pens a customer can buy:
o if the customer spend maximum amount i.e $25. o And, he buys more numbers of cheapest pen.  Hence, he will maximum of$2 pen.

• Let the customer buys x pen of $2 and y pen of$3.
o 2x+3y=25
o Hence, he either buy 12 pens that will cost him $24. o Or, he can buy one$3 pen and eleven $2 pen that will cost him$25.

• Hence, in every case, he will buy 12 pens only.

Hence, the correct answer is option D.

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Director
Joined: 31 Oct 2013
Posts: 578
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
A certain store sells two types of pens: one type for $2 per pen and [#permalink] ### Show Tags 12 Jul 2018, 06:20 LevanKhukhunashvili wrote: If the only goal is to purchase as many pens as possible and quality doesn't matter pick up the cheap pens for$24 you can purchase twelve $2 pens P.S please prompt me what exactly "up to$25" means: $$<=25$$ or $$<25$$

up to 25$means maximum limit is 25 but if it is required u can spend less than 25. Up to 25 means you are not allowed to cross 25$.

So, < = 25.

Thanks.
Intern
Joined: 18 Jun 2018
Posts: 48
Location: United States
Concentration: Finance, Healthcare
Re: A certain store sells two types of pens: one type for $2 per pen and [#permalink] ### Show Tags 12 Jul 2018, 07:37 Seconded. The answer is D (12) Given: • One type of pen costs$2 per pen.
• Another type of pen costs $3 per pen. To find: • Greatest number of pens a customer can buy if the customer spend up to$25.

Approach and Working:

• Greatest number of pens a customer can buy:
o if the customer spend maximum amount i.e $25. o And, he buys more numbers of cheapest pen.  Hence, he will maximum of$2 pen.

• Let the customer buys x pen of $2 and y pen of$3.
o 2x+3y=25
o Hence, he either buy 12 pens that will cost him $24. o Or, he can buy one$3 pen and eleven $2 pen that will cost him$25.

• Hence, in every case, he will buy 12 pens only.

Hence, the correct answer is option D.

Re: A certain store sells two types of pens: one type for $2 per pen and &nbs [#permalink] 12 Jul 2018, 07:37 Display posts from previous: Sort by # A certain store sells two types of pens: one type for$2 per pen and

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