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Bouquets are to be made using white tulips and red tulips, a

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Bouquets are to be made using white tulips and red tulips, a [#permalink] New post   11 Aug 2020, 09:31
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Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3
B. 5
C. 8
D. 10
E. 13
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B
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Re: Bouquets are to be made using white tulips and red tulips, a [#permalink] New post   11 Aug 2020, 09:31
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Re: Bouquets are to be made using white tulips and red tulips, a [#permalink] New post   11 Aug 2020, 09:39
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Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

A. 3
B. 5
C. 8
D. 10
E. 13



Let's use some prime factorization...

We have 15 white tulips and 85 red tulips
15 = (3)(5)
85 = (5)(17)

So, for the white tulips, we can create 5 groups of 3 flowers
So, for the red tulips, we can create 5 groups of 17 flowers

This means we can create 5 BOUQUETS in which each bouquet has 3 red tulips and 17 white tulips
In other words, the ratio of red tulips to white tulips is the same for each bouquet (3 : 17).

Answer: B
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Re: Bouquets are to be made using white tulips and red tulips, a [#permalink] New post   12 Aug 2020, 03:28
15 and 85 together can be divided by 5 only as per given options, hence option B
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Re: Bouquets are to be made using white tulips and red tulips, a [#permalink] New post   12 Aug 2020, 07:10
The goal is to try to create the largest possible number of bouquets where the number of red and white tulips is the same for each of the bouquets.

The thought process is: what is the largest number of groups that I could make of red tulips and the largest number of groups that I could make of white tulips so that the number of groups of red and white tulips is the same?

That would be the greatest common factor

greatest common factor of 15 and 85 is 5

Final Answer: B
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Re: Bouquets are to be made using white tulips and red tulips, a [#permalink] New post   12 Apr 2024, 12:23
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Bouquets are to be made using white tulips and red tulips, a [#permalink]
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