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
Brian purchased a bouquet of 40 flowers for his mother for
This topic has expert replies
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
We can solve this question using either 1 variable or 2 variables.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
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
Answer: D
Cheers,
Brent
- fskilnik@GMATH
- GMAT Instructor
- Posts: 1449
- Joined: Sat Oct 09, 2010 2:16 pm
- Thanked: 59 times
- Followed by:33 members
$$40\,\,\left\{ \matrix{AAPL wrote:Veritas Prep
Brian purchased a bouquet of 40 flowers for his mother for her birthday. If roses cost $1.50 and tulips cost $1.00, and he spent $48 in total buying only those two types of flowers, how many tulips were in the bouquet?
A. 12
B. 16
C. 20
D. 24
E. 28
\,\,T\,\, = \,\,? \hfill \cr
\,R = 40 - T \hfill \cr} \right.$$
$$\left[ \$ \right]\,\,\,\,\left( {40 - T} \right) \cdot \frac{3}{2} + T \cdot 1 = 48\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,60 - \frac{1}{2}T = 48\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\frac{1}{2}T = 12\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\left( D \right)$$
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
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
=
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.
We can PLUG IN THE ANSWERS, which represent the number of tulips.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
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.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7243
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can let the number of tulips = t and the number of roses = r and create the following equations: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
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.
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- 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
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