A man left half of his money to his first son, 3/8 to his second son, and the rest, #80000 to his third son. How much did he leave to his second son?
Let x be the amount of money the man had initially.
He left x/2 to his first son.
He left 3/8*x to his second son.
He left x/2 + 3/8*x + #80000 = x(1/2 + 3/8) + #80000 = x(4/8 + 3/8) + #80000 = x(7/8) + #80000 = (7/8)x + #80000 to his third son.
So the man left (7/8)x + #80000 = (3/8)x to his second son.
In other words, (3/8)x = (7/8)x + #80000.
Let's solve for x.
(3/8)x - (7/8)x = #80000
(1/4)x = #80000
x = #80000 * 4 = #<<320000=320000>>320000.
So the man left (3/8)*320000 = #96000 to his second son. Answer: \boxed{#96000}.
To solve this question, we can start by assigning a variable to the total amount of money the man had. Let's say the total amount is 'x'.
According to the information given, the man left half of his money to his first son. That means he left (1/2)x to his first son.
He also left 3/8 of his money to his second son. So, he left (3/8)x to his second son.
Finally, the man left the remaining amount, which is #80000, to his third son.
Now, we can set up an equation to solve for the amount of money left to the second son:
(1/2)x + (3/8)x + 80000 = x
To simplify this equation, we need to find a common denominator, which is 8 in this case. Multiplying each term by 8 gives:
4x + 3x + 640000 = 8x
Combining like terms, we get:
7x + 640000 = 8x
Next, we'll isolate the variable 'x' by subtracting 7x from both sides of the equation:
640000 = 8x - 7x
Simplifying further:
640000 = x
So, the total amount of money the man had, 'x', is #640000.
Finally, we can substitute this value back into the equation to find out how much he left to his second son:
(3/8) * 640000 = 240000
Therefore, the man left #240000 to his second son.
To find out how much the man left to his second son, we need to calculate the fraction of his money that was left to his second son.
The fraction left to the second son is 3/8.
We can now calculate the amount left to the second son by multiplying this fraction by the total amount of money the man had:
Amount left to the second son = (3/8) * Total amount
Since the man left the rest, #80000, to his third son, we can assume that the remaining money is #80000. Therefore, the total amount the man had equals the sum of what he left to his second son and what he left to his third son:
Total amount = Amount left to the second son + Amount left to the third son
Replacing the variables with the given values, we have:
80000 = (3/8) * Total amount + 80000
Now we can solve the equation for the total amount:
80000 - 80000 = (3/8) * Total amount
0 = (3/8) * Total amount
To solve for Total amount, we can multiply both sides of the equation by 8/3:
Total amount = 0 * (8/3)
Total amount = 0
Since the total amount is 0, this means the man didn't have any money. Therefore, he left nothing to his second son.
In conclusion, the man left nothing to his second son.