A farmer uses 11/18 of his field for growing rice and 3/7 of the remaining field for growing tomatoes. Of the area thus left he uses 1/4 of it to grow spinach and the rest to grow sweet potatoes.What fraction of the field is used for growing sweet potatoes?
rice: 11/18 (7/18 left)
tomatoes: (3/7)(7/18) = 3/18 (4/18 left)
spinach: (1/4)(4/18) = 1/18 (3/18 left)
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A man left 3/7 of his money to his wife, 1/2 to his brother and the rest of it he divided equally among his 3 children.If each of children received $400, how much did his wife receive?
3/7= Money for the Wife
1/2 of remains to Brother
The rest divided equally between 3 kids, each child receiving $400, together $1200.
Now imagine there are 7 blocks of the money and 3 are for the wife
The brother: 1/2 x 4/7(which is the remaining)
The brother receives 2 blocks
The children get 2 blocks
The children's $1200 divided by 2(blocks) is $600 for each block
This means the brother get $1200
and the wife gets $1800
To find out what fraction of the field is used for growing sweet potatoes, we need to calculate the remaining fraction of the field after growing rice and tomatoes.
1. First, calculate the fraction of the field used for growing rice:
The farmer uses 11/18 of the field for growing rice.
2. Next, calculate the remaining fraction of the field after growing rice:
Since the remaining fraction is calculated by subtracting the fraction used for growing rice from 1 (the whole field), we have:
Remaining fraction = 1 - 11/18
3. Now, calculate the fraction of the remaining field used for growing tomatoes:
The farmer uses 3/7 of the remaining fraction for growing tomatoes.
4. Calculate the fraction of the remaining field after growing rice and tomatoes:
Subtracting the fraction used for growing tomatoes from the remaining fraction, we have:
Remaining fraction after tomatoes = Remaining fraction - 3/7
5. Calculate the fraction used for growing spinach:
The farmer uses 1/4 of the remaining fraction after tomatoes for growing spinach.
6. Calculate the fraction of the field used for growing sweet potatoes:
The fraction used for growing sweet potatoes is the remaining fraction after tomatoes minus the fraction used for growing spinach.
Let's calculate step by step:
1. Fraction used for growing rice = 11/18
2. Remaining fraction = 1 - 11/18
3. Fraction used for growing tomatoes = 3/7 * Remaining fraction
4. Remaining fraction after tomatoes = Remaining fraction - 3/7 * Remaining fraction
5. Fraction used for growing spinach = 1/4 * Remaining fraction after tomatoes
6. Fraction used for growing sweet potatoes = Remaining fraction after tomatoes - Fraction used for growing spinach
By calculating these steps, you can determine the fraction of the field used for growing sweet potatoes.