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September 14th, 2018, 05:52 AM   #1
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Plot of land

A plot of land is used for planting flowers. 2/3 of the land is used to plant roses. Of the remaining plot of land, 2/5 is used for planting orchids. The rest of the land is used to plant sunflowers. What fraction of the land is used to plant sunflowers?

My work:

1 - 2/3 = 1/3. So I'm guessing 1/3 is the total land left that can plant roses?

1 - 2/5 = 3/5. I'm guessing what is left when it comes to planting orchids?

so, in the book, they did 1/3 * 3/5 = 3/15 = 1/5.

I'm not sure why the answer is 1/5? I would expect 2/5.
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September 14th, 2018, 06:24 AM   #2
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Quote:
A plot of land is used for planting flowers. 2/3 of the land is used to plant roses. Of the remaining plot of land, 2/5 is used for planting orchids. The rest of the land is used to plant sunflowers. What fraction of the land is used to plant sunflowers?
orchids are planted on 2/5 of the remaining 1/3 $\implies$ sunflowers are planted on 3/5 of the remaining 1/3 ...

$\displaystyle \frac{3}{5} \cdot \frac{1}{3} = \frac{1}{5}$
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September 14th, 2018, 08:09 AM   #3
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Quote:
Originally Posted by xoritos View Post
[1] a plot of land is used for planting flowers.
[2] 2/3 of the land is used to plant roses.
[3] of the remaining plot of land, 2/5 is used for planting orchids.
[4] the rest of the land is used to plant sunflowers.
What fraction of the land is used to plant sunflowers?
[1] 1
[2] 2/3
[3] 2/5 * (1 - 2/3)
[4] [1] - [2] - [3] = 1/5
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