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 September 14th, 2018, 06:52 AM #1 Member   Joined: Sep 2018 From: Japan Posts: 35 Thanks: 2 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.
September 14th, 2018, 07:24 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 ...

$\displaystyle \frac{3}{5} \cdot \frac{1}{3} = \frac{1}{5}$

September 14th, 2018, 09:09 AM   #3
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Quote:
 Originally Posted by xoritos [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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