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Brian purchased a bouquet of 40 flowers for his mother for her birthda

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Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 09 Aug 2017, 22:37
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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
[Reveal] Spoiler: OA

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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 09 Aug 2017, 22:46
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Can you please double check the question? Should we find roses or tulips since the question says roses tulips? If it's roses then the answer is 16 and tulips would be 24.

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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 09 Aug 2017, 22:48
Bunuel 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 roses tulips were in the bouquet?

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


With the help of answer choices 16 roses and 24 tulips
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 09 Aug 2017, 23:20
theHermes5 wrote:
Can you please double check the question? Should we find roses or tulips since the question says roses tulips? If it's roses then the answer is 16 and tulips would be 24.

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Yes, we should find the number of tulips. Edited. Thank you.
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 09 Aug 2017, 23:36
3R+2T=96
R+T=40
plugin, answer D
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 09 Aug 2017, 23:53
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Let the roses Brian purchased be R
Let the tulips he purchased be T

R + T = 40
1.5R + T = 48

Since we have been asked to find the number of tulips in the bouquet,
R = 40 - T can be substituted in 1.5R + T = 48
1.5(40 - T) + T = 48
60 - 48 - 1.5T + T = 0
T = 24(Option D)
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 11 Aug 2017, 15:47
Bunuel 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


Another approach

Average price of the a flower = 48 /40 = 12/10 =1.2

If there is equal amount of tulip and roses then average would be 1.25. Hence it means that there are tulip more roses.

Eliminate A, B & C

We can check any choice. I will choose D =24 tulip

1.5 * 16 + 1 * 24 = 24 + 24 = 48

Answer: D
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 11 Aug 2017, 16:32
1. R + T = 40
2. 1,5 R + T = 48
3. Solve 2 equations, we get R = 16 and T = 26.
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda [#permalink]

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New post 15 Aug 2017, 09:57
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Bunuel 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


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.

Answer: D
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda   [#permalink] 15 Aug 2017, 09:57
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