• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn

A. 12
B. 16
C. 20
D. 24
E. 28

OA D

### GMAT/MBA Expert

GMAT Instructor
Joined
08 Dec 2008
Posted:
12655 messages
Followed by:
1245 members
5254
GMAT Score:
770
AAPL wrote:
Veritas Prep

Brian purchased a bouquet of 40 flowers for his mother for her birthday. If roses cost $1.50 and tulips cost$1.00, and he spent $48 in total buying only those two types of flowers, how many tulips were in the bouquet? A. 12 B. 16 C. 20 D. 24 E. 28 OA D We can solve this question using either 1 variable or 2 variables. Here's an approach that involves 1 variable: Let t = # of tulips in bouquet So. 40 - t = # of roses in bouquet [since the total number of flowers is 40, the number of roses must be 40-t] So, ($1.00)(t) = the total COST of all t tulips
And ($1.50)(40 - t) = the total COST of all 40-t roses We're told the bouquet costs$48.
So, we can write: ($1.00)(t) + ($1.50)(40 - t) = 48
Expand: t + 60 - 1.5t = 48
Simplify: 60 - 0.5t = 48
Subtract 60 from both sides: -0.5t = -12
Solve: t = 24

Cheers,
Brent

_________________
Brent Hanneson – Creator of GMATPrepNow.com
Use our video course along with

And check out all of our free resources

GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

GMAT Instructor
Joined
09 Oct 2010
Posted:
1282 messages
Followed by:
29 members
59
AAPL wrote:
Veritas Prep

Brian purchased a bouquet of 40 flowers for his mother for her birthday. If roses cost $1.50 and tulips cost$1.00, and he spent $48 in total buying only those two types of flowers, how many tulips were in the bouquet? A. 12 B. 16 C. 20 D. 24 E. 28 $$40\,\,\left\{ \matrix{ \,\,T\,\, = \,\,? \hfill \cr \,R = 40 - T \hfill \cr} \right.$$ $$\left[ \ \right]\,\,\,\,\left( {40 - T} \right) \cdot \frac{3}{2} + T \cdot 1 = 48\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,60 - \frac{1}{2}T = 48\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\frac{1}{2}T = 12\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\left( D \right)$$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15103 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 = AAPL wrote: Veritas Prep Brian purchased a bouquet of 40 flowers for his mother for her birthday. If roses cost$1.50 and tulips cost $1.00, and he spent$48 in total buying only those two types of flowers, how many tulips were in the bouquet?

A. 12
B. 16
C. 20
D. 24
E. 28
We can PLUG IN THE ANSWERS, which represent the number of tulips.
When the correct answer is plugged in, the total cost = $48. D: 24 tulips, implying 16 roses, for a total of 40 flowers Since each of the 24 tulips costs$1, and each of the 16 roses costs $1.50, we get: Total cost = (24*1) + (16*1.5) = 24 + 24 = 48. Success! The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2012 messages Followed by: 14 members Upvotes: 43 AAPL wrote: Veritas Prep Brian purchased a bouquet of 40 flowers for his mother for her birthday. If roses cost$1.50 and tulips cost $1.00, and he spent$48 in total buying only those two types of flowers, how many tulips were in the bouquet?

A. 12
B. 16
C. 20
D. 24
E. 28
We can let the number of tulips = t and the number of roses = r and create the following equations:

t + r = 40

t = 40 - r

and

1.5r + t = 48

Thus:

1.5r + 40 - r = 48

0.5r = 8

r = 16

So, t = 40 - 16 = 24.

_________________
Scott Woodbury-Stewart Founder and CEO

### GMAT/MBA Expert

Elite Legendary Member
Joined
23 Jun 2013
Posted:
10071 messages
Followed by:
494 members
2867
GMAT Score:
800
Hi All,

We're told that Brian purchased a bouquet of 40 flowers for his mother for her birthday; roses cost $1.50 each and tulips cost$1.00 each , and he spent $48 in total buying only those two types of flowers. We're asked for the number of tulips that he bought. This question can be solved in a variety of ways; it's essentially a Weighted Average question, so you can use a little logic and a bit of math to find the correct answer. IF... we had an EQUAL number of roses and tulips, then the AVERAGE cost of the flowers would be$1.25 and the TOTAL cost would be (40)($1.25) =$50.

We're told that the total cost was $48 though - and that's a bit less than$50 - so there are just slightly more of the $1 flowers (the tulips) than there are of the roses. Thus, a little more than half of the 40 flowers would be tulips. There's only one answer that's a little more than 20... Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

### Top First Responders*

1 fskilnik@GMATH 55 first replies
2 GMATGuruNY 52 first replies
3 Brent@GMATPrepNow 51 first replies
4 Jay@ManhattanReview 39 first replies
5 Rich.C@EMPOWERgma... 23 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

198 posts
2 fskilnik@GMATH

GMATH Teacher

154 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

97 posts
4 Max@Math Revolution

Math Revolution

89 posts
5 GMATGuruNY

The Princeton Review Teacher

76 posts
See More Top Beat The GMAT Experts