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Brian purchased a bouquet of 40 flowers for his mother for her birthda
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13 Apr 2021, 05:50
13 Apr 2021, 05:50
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Question Stats:
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 12
B. 16
C. 20
D. 24
E. 28
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda
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13 Apr 2021, 06:17
13 Apr 2021, 06:17
Carcass wrote:
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 12
B. 16
C. 20
D. 24
E. 28
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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
Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda
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13 Apr 2021, 10:32
13 Apr 2021, 10:32
1
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
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
