A sum of money is to be divided among three brothers, Jake, Mark and Adam in the ratio 2: 3: 5. The largest share amounts to $1500.
Jake 2/5 = x/1500
Mark 3/5 = x/1500
Solve for x's.
To find the total amount of money, we need to assign a value to the smallest share.
Let's assume that the smallest share is $x.
According to the given ratio, Jake's share is 2x, Mark's share is 3x, and Adam's share is 5x.
Since Adam's share is $1500, we can set up an equation and solve for x:
5x = $1500
To find x, we divide both sides of the equation by 5:
x = $1500 / 5
x = $300
Now that we know x, we can calculate the shares of Jake and Mark:
Jake's share: 2x = 2 * $300 = $600
Mark's share: 3x = 3 * $300 = $900
Therefore, Jake's share is $600, Mark's share is $900, and Adam's share is $1500. The total amount of money is $600 + $900 + $1500 = $3000.
To find the amount to be divided among Jake, Mark, and Adam, we need to first determine the total ratio value. We can do this by adding up the ratio values (2 + 3 + 5) = 10.
Next, we can find the value of each ratio unit by dividing the largest share ($1500) by the total ratio value (10).
Value of each ratio unit = $1500 / 10 = $150
Now, to find the share for each brother, we multiply the value of each ratio unit by their respective ratio values.
Jake's share = 2 ratio units * $150 = $300
Mark's share = 3 ratio units * $150 = $450
Adam's share = 5 ratio units * $150 = $750
Therefore, Jake will receive $300, Mark will receive $450, and Adam will receive $750.