Three people share an inheritance in the ratio 2:3:4 and the share of the person who receives most is $5000. The share of the person next to him is $1250 more than the third person. How much does the third person receive?
They would receive 2x, 3x, and 4x respectively.
then 4x = 5000
x = 1250
So they would get $2500, $3750, and $5000
The fact that the share of the person next to him is $1250 more than the third person, is redundant information.
200
To solve this problem, we can represent the shares of the three people as 2x, 3x, and 4x, where x is a common factor.
Given that the share received by the person who receives the most is $5000, we can set up the equation:
4x = $5000
Simplifying the equation, we divide both sides by 4:
x = $5000 / 4
x = $1250
Now we can calculate the shares of the three people using the value of x:
First person's share: 2x = 2 * $1250 = $2500
Second person's share: 3x = 3 * $1250 = $3750
It is given that the share of the person next to him (the second person) is $1250 more than the third person's share. Therefore, we can set up the equation:
3x = x + $1250
Simplifying the equation:
2x = $1250
Now we can substitute the value of x back into the equation to find the third person's share:
2 * $1250 = $2500
Therefore, the third person receives $2500.
To find out how much the third person receives, we need to follow these steps:
Step 1: Determine the total value of the inheritance.
Since we know that the share of the person who receives the most is $5000, we can assume that the ratio of their share is equal to 4. Therefore, the total value of the inheritance can be calculated by multiplying the share of the person with the highest amount by the sum of the ratios:
Total value = share of the person with the highest amount / (sum of the ratios)
Total value = $5000 / (2+3+4) = $5000 / 9 = $555.56 (approx.)
Step 2: Calculate the share of the person next to the one who received the most.
Since we know that the share of the person next to the highest is $1250 more than the third person, we can calculate the third person's share by subtracting $1250 from the share of the person next to the highest:
Third person's share = share of the person next to the highest - $1250
Third person's share = (4/9) * Total value - $1250
Third person's share = (4/9) * $555.56 - $1250 = $247.47 (approx.)
Therefore, the third person receives approximately $247.47.