A bachelor spends one half of his salary on entertainment,one fifth on food,one tenth on clothes and one fifth on rent.What fraction of his salary is left?
Not really geometry, but:
1/2 + 1/5 + 1/10 + 1/5 = 1
The bachelor has no money left, or 0/1 left.
1.0 - (0.5 + 0.2 + 0.1 + 0.2) = 0
mmmh,
I guess that explains why he is still a bachelor
To find out what fraction of the bachelor's salary is left after spending on various expenses, we need to add up the fractions spent on each expense and then subtract that sum from 1 (since the remaining fraction is what's left).
Let's go step by step:
1. The bachelor spends one half of his salary on entertainment, which is equivalent to 1/2.
2. He spends one fifth on food, which is equivalent to 1/5.
3. He spends one tenth on clothes, which is equivalent to 1/10.
4. He spends one fifth on rent, which is equivalent to 1/5.
To find the total fraction spent, we add these fractions:
1/2 + 1/5 + 1/10 + 1/5
To add these fractions, we need to find a common denominator. In this case, the least common denominator (LCD) is 10. We can rewrite the fractions with this denominator:
(5/10) + (2/10) + (1/10) + (2/10)
Now, we can add them:
5/10 + 2/10 + 1/10 + 2/10 = 10/10
The sum of the fractions spent is equal to the whole, i.e., 10/10, which is equivalent to 1.
To find the fraction of the salary left, we subtract the sum from 1:
1 - 10/10 = 0/10 = 0
Therefore, the fraction of the bachelor's salary left is 0, indicating that he has spent all of his salary and has nothing left.