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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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09 Aug 2017, 22:37
00:00

Difficulty:

15% (low)

Question Stats:

87% (01:37) correct 13% (01:45) wrong based on 117 sessions

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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

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

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09 Aug 2017, 22:46
1
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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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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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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09 Aug 2017, 23:36
3R+2T=96
R+T=40
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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda  [#permalink]

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09 Aug 2017, 23:53
3
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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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

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

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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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15 Aug 2017, 09:57
1
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.

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

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18 Oct 2018, 04:58
Top Contributor
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

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

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21 Oct 2018, 12:25
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...

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Re: Brian purchased a bouquet of 40 flowers for his mother for her birthda   [#permalink] 21 Oct 2018, 12:25
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