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

 It is currently 23 Oct 2018, 20:00

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

Kevin buys beer in bottles and cans. He pays \$1.00 for each can of bee

Author Message
TAGS:

Hide Tags

SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1738
Location: Pakistan
GPA: 3.39
Kevin buys beer in bottles and cans. He pays \$1.00 for each can of bee  [#permalink]

Show Tags

26 Mar 2017, 12:10
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:26) correct 26% (01:47) wrong based on 25 sessions

HideShow timer Statistics

Kevin buys beer in bottles and cans. He pays \$1.00 for each can of beer and \$1.50 for each bottle of beer. If he buys a total of 15 bottles and cans of beer, how many bottles of beer did he buy?

(1) Kevin spent a total of \$18.00 on beer.
(2) Kevin bought 3 more cans of beer than bottles of beer.

_________________

Official PS Practice Questions
Press +1 Kudos if this post is helpful

CEO
Joined: 12 Sep 2015
Posts: 3038
Re: Kevin buys beer in bottles and cans. He pays \$1.00 for each can of bee  [#permalink]

Show Tags

27 Mar 2017, 08:52
Top Contributor
Kevin buys beer in bottles and cans. He pays \$1.00 for each can of beer and \$1.50 for each bottle of beer. If he buys a total of 15 bottles and cans of beer, how many bottles of beer did he buy?

(1) Kevin spent a total of \$18.00 on beer.
(2) Kevin bought 3 more cans of beer than bottles of beer.

Target question: How many bottles of beer did Kevin buy?

Given: Kevin pays \$1.00 for each can of beer and \$1.50 for each bottle of beer. Kevin buys a total of 15 bottles and cans of beer
Let C = the NUMBER of Cans that Kevin bought
Let B = the NUMBER of Bottles that Kevin bought
So, we can write: C + B = 15

Statement 1: Kevin spent a total of \$18.00 on beer
The COST of C cans = (\$1.00)C = 1C
The COST of B bottles = (\$1.50)B = 1.5B
So, we can write: 1C + 1.5B = 18.00

When we combine this equation with the equation we created from the given information, we have:
C + B = 15
1C + 1.5B = 18.00

Since we COULD solve this system for C and B, we COULD determine the number of bottles of beer that Kevin bought.
(of course, we won't solve the system, since that would be a waste of our valuable time!)
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Kevin bought 3 more cans of beer than bottles of beer
We can write: C = B + 3

When we combine this equation with the equation we created from the given information, we have:
C + B = 15
C = B + 3

Since we COULD solve this system for C and B, we COULD determine the number of bottles of beer that Kevin bought.
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com

Re: Kevin buys beer in bottles and cans. He pays \$1.00 for each can of bee &nbs [#permalink] 27 Mar 2017, 08:52
Display posts from previous: Sort by