Mr.Mathew left one-fourth of his property to his daughter as well as his son. He also left one-third of the remaining to charity and the rest to his wife. How much did his wife get if the charity amount was 100,000?
Answer i got is 200,000.
1/3=100,000
Full will be 300,000.
remaining 2/3 for wife = 2/3X300,000
ie.200,000
Can you please help whether my steps are correct and also answer
See previous post: Sat, 11-14-15r, 3:48 AM.
Yes, your steps are correct. Let's break it down to clarify:
We know that Mr. Mathew left one-fourth of his property to both his daughter and his son. So, his daughter and son together received 1/4 of the total property.
The remaining property is 3/4 because 1 - 1/4 = 3/4.
Mr. Mathew then left one-third of the remaining property to charity, which is equal to 100,000.
We can calculate the value of the total property by dividing the charity amount by the fraction that represents the portion of the property left for charity: 100,000 / (1/3) = 300,000.
Now, we need to find out how much Mr. Mathew's wife received. We already know that 1/4 was given to the daughter and son, and 1/3 was given to the charity. So, the remaining fraction left for his wife is 1 - (1/4) - (1/3).
To calculate this, you need to find the least common multiple (LCM) of 4 and 3, which is 12. Then, multiply this LCM by each fraction's denominator and calculate the corresponding numerator.
(1 - 1/4 - 1/3) = (12/12 - 3/12 - 4/12) = (5/12).
Finally, multiply this fraction by the total property value:
(5/12) × 300,000 = 200,000.
Therefore, the amount Mr. Mathew's wife received is 200,000.