A man left half of his money to his first son and 3/8 to his second son and the rest #80000 to his third son. How much did he leave to his second son
Let's assume that the man had $x as his total money.
He left half of his money to his first son: (1/2)x.
He left 3/8 of his money to his second son: (3/8)x.
The rest of his money, which is $80000, he left to his third son.
So, the equation becomes:
(1/2)x + (3/8)x + $80000 = x.
Combining like terms on the left side:
(4/8)x + (3/8)x + $80000 = x.
(7/8)x + $80000 = x.
Subtracting (7/8)x from both sides:
$80000 = (1/8)x.
Multiplying both sides by 8 to solve for x:
$80000 * 8 = x.
$640000 = x.
Therefore, the man left 3/8 of his money, which is (3/8)*$640000 = $<<3/8*640000=240000>>240000 to his second son. Answer: \boxed{240000}.
To determine the amount the man left to his second son, we need to find out what fraction of his total money that represents.
First, let's add up the fractions he left to his first and second sons:
1/2 + 3/8 = 4/8 + 3/8 = 7/8
Since the remaining fraction was left to his third son, we can find out the fraction left for him by subtracting 7/8 from 1:
1 - 7/8 = 8/8 - 7/8 = 1/8
We are given that this fraction is equivalent to $80,000, so to find the amount left for the second son, we need to divide $80,000 by the fraction 1/8:
$80,000 ÷ (1/8) = $80,000 × (8/1) = $80,000 × 8 = $640,000
Therefore, the man left $640,000 to his second son.
To determine how much the man left for his second son, we need to follow three steps:
Step 1: Find the total amount of money left to the third son.
Given that the amount left for the third son is #80000, we know this is the remaining fraction. Since the first son received half of the money and the second son received 3/8, we can calculate their combined share:
1 - 1/2 - 3/8 = 8/8 - 4/8 - 3/8 = 1/8
Therefore, 1/8 represents #80000.
Step 2: Calculate the value of 1/8.
To determine the value of 1/8, we divide #80000 by 1/8:
#80000 ÷ (1/8) = #80000 × (8/1) = #640000
Step 3: Determine the amount left for the second son.
Given that the second son received 3/8 of the total amount, we can calculate his share of #640000:
#640000 × (3/8) = #240000
Therefore, the man left #240,000 to his second son.