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05 May 2017, 03:24
Kudos
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B
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Difficulty:
5%
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Question Stats:
92% (01:57) correct
8%
(02:40)
wrong
based on 78
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Bino pens can be purchased for $12 per pack of 100, $8 per pack of 50, or $0.25 each. What is the greatest number of pens that can be purchased for $57.75?
A. 475
B. 457
C. 439
D. 423
E. 357
A. 475
B. 457
C. 439
D. 423
E. 357
05 May 2017, 05:07
Kudos
Bookmarks
Cost per pen, when we buy a pack of 100 pens = $ 12/100 = $0.12
Cost per pen, when we buy a pack of 50 pens = $ 8/50 = $0.16
Cost per pen, when we buy a single pen = $0.25
So, to maximise the number of pens in a fixed amount, objective is to have as many 'packs of 100' as possible, followed by as many 'packs of 50' as possible, followed by single pens.
No of 'packs of 100' = 57.75/12 = 4 (quotient is 4). 12*4 = 48, this leaves us with 57.75 - 48 = $9.75 (and now we have 400 pens)
No of 'packs of 50' = 9.75/8 = 1 (quotient is 1). This leaves us with $1.75 (and we have an additional 50 pens)
In remaining amount, we can get 1.75/0.25 = 7 single pens.
Thus max no of pens possible = 400+50+7 = 457. hence B
Cost per pen, when we buy a pack of 50 pens = $ 8/50 = $0.16
Cost per pen, when we buy a single pen = $0.25
So, to maximise the number of pens in a fixed amount, objective is to have as many 'packs of 100' as possible, followed by as many 'packs of 50' as possible, followed by single pens.
No of 'packs of 100' = 57.75/12 = 4 (quotient is 4). 12*4 = 48, this leaves us with 57.75 - 48 = $9.75 (and now we have 400 pens)
No of 'packs of 50' = 9.75/8 = 1 (quotient is 1). This leaves us with $1.75 (and we have an additional 50 pens)
In remaining amount, we can get 1.75/0.25 = 7 single pens.
Thus max no of pens possible = 400+50+7 = 457. hence B
05 May 2017, 12:38
Kudos
Bookmarks
If he purchases 4(12$ packs),1(8$ pack) and 7(.25$ packs) he will exhaust 57.75$.
Since one 12$ pack gives him 100 pens, one 8$ pack gives him 50 and each additional pen costs him .25$, he will get 4*100 + 1*50 + 7*1 =457 pens(Option B)
Sent from my LG-H818 using GMAT Club Forum mobile app
Since one 12$ pack gives him 100 pens, one 8$ pack gives him 50 and each additional pen costs him .25$, he will get 4*100 + 1*50 + 7*1 =457 pens(Option B)
Sent from my LG-H818 using GMAT Club Forum mobile app
