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Math Expert
Joined: 02 Sep 2009
Posts: 51215
A certain store sells two types of pens: one type for $2 per pen and [#permalink] ### Show Tags 12 Jul 2018, 04:47 00:00 Difficulty: 15% (low) Question Stats: 88% (00:41) correct 13% (01:02) wrong based on 24 sessions ### HideShow timer Statistics 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

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Joined: 31 Oct 2013
Posts: 881
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, 04:56 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: 135 Re: A certain store sells two types of pens: one type for$2 per pen and  [#permalink]

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12 Jul 2018, 04:59
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: 2309 Re: A certain store sells two types of pens: one type for$2 per pen and  [#permalink]

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12 Jul 2018, 05:07

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. Answer: D _________________ Register for free sessions Number Properties | Algebra |Quant Workshop Success Stories Guillermo's Success Story | Carrie's Success Story Ace GMAT quant Articles and Question to reach Q51 | Question of the week Must Read Articles Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2 Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2 Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry Algebra- Wavy line | Inequalities Practice Questions Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets | '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com Director Joined: 31 Oct 2013 Posts: 881 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, 05:20
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. Rice (Jones) Thread Master Joined: 18 Jun 2018 Posts: 83 Location: United States (AZ) Concentration: Finance, Healthcare Re: A certain store sells two types of pens: one type for$2 per pen and  [#permalink]

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12 Jul 2018, 06:37
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. Answer: D[/quote] Re: A certain store sells two types of pens: one type for$2 per pen and &nbs [#permalink] 12 Jul 2018, 06:37
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# A certain store sells two types of pens: one type for \$2 per pen and

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