two brothers together owned 1/3 of a small rice mill valued at 1,260.000. One brother owned 3/7 as much as the other. What is the value of each one's share
One bro. owned $X.
The other bro. owned $3x/7.
X + 3x/7 = 1,260,000.
Multiply both sides by 7 and solve for X.
2987
To find the value of each brother's share, we can follow these steps:
Step 1: Determine the combined value of both brothers' shares by finding 1/3 of the total value of the rice mill.
Combined share value = 1/3 * 1,260,000
Step 2: Determine the ratio of ownership between the brothers. The problem states that one brother owns 3/7 as much as the other brother.
Let's assume the second brother owns the larger share, so the ratio of their ownership would be 3x : 7x, where x is a common multiplier.
Step 3: Set up an equation using the combined share value found in Step 1 and the ownership ratio from Step 2.
3x + 7x = 1/3 * 1,260,000
Step 4: Solve the equation to find the value of x.
10x = 1/3 * 1,260,000
10x = 420,000
x = 420,000 / 10
x = 42,000
Step 5: Calculate the value of each brother's share by multiplying their respective ratios by x.
First brother's share = 3x = 3 * 42,000 = 126,000
Second brother's share = 7x = 7 * 42,000 = 294,000
Therefore, the first brother's share is valued at $126,000, and the second brother's share is valued at $294,000.