GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2018, 22:21

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 28 May 2014
Posts: 528
GMAT 1: 730 Q49 V41
Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws  [#permalink]

### Show Tags

28 Oct 2017, 20:18
00:00

Difficulty:

25% (medium)

Question Stats:

79% (03:06) correct 21% (02:49) wrong based on 20 sessions

### HideShow timer Statistics

Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws for \$0.03 each. He bought a total of 18 items and paid a total of \$0.32. If he bought twice as many nails as screws, how many hooks did he buy?

(a) 4
(b) 6
(c) 7
(d) 8
(e) 10

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 6980
Re: Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws  [#permalink]

### Show Tags

28 Oct 2017, 20:36
saswata4s wrote:
Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws for \$0.03 each. He bought a total of 18 items and paid a total of \$0.32. If he bought twice as many nails as screws, how many hooks did he buy?

(a) 4
(b) 6
(c) 7
(d) 8
(e) 10

Hi...

Let the number of screws be x, so price =0.03x
So Number of nails is 2x, and price =0.02x
Let hooks be y..
So 0.02x +0.03x+0.02y=0.32......0.05x+0.02y=0.32
Only y as 1, 6 or 11 will make 0.32 a MULTIPLE of 0.05.
6 is given in choices
B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

VP
Joined: 07 Dec 2014
Posts: 1104
Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws  [#permalink]

### Show Tags

28 Oct 2017, 22:57
saswata4s wrote:
Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws for \$0.03 each. He bought a total of 18 items and paid a total of \$0.32. If he bought twice as many nails as screws, how many hooks did he buy?

(a) 4
(b) 6
(c) 7
(d) 8
(e) 10

let s=number of screws bought
s*3¢+2s*1¢+(18-3s)*2¢=32¢
s=4
18-3s=6 hooks bought
B
Joseph bought nails for \$0.01 each, hooks for \$0.02 each, and screws &nbs [#permalink] 28 Oct 2017, 22:57
Display posts from previous: Sort by