A sum of money is divided between three people in the ratio 1 : 2 : 0.5.
The smallest share is $48. What is the total sum of money?
1:2:0.5 = 2:4:1 = 96:192:48
7*48 = 336
To find the total sum of money, we need to determine the value of the largest share.
Let's assume the smallest share is represented by 1 unit.
Since the ratio is given as 1 : 2 : 0.5, the second share would be 2 units, and the third share would be 0.5 units.
We are given that the smallest share is $48, which represents 1 unit.
To find the value of 2 units, we can set up a proportion:
1 unit / $48 = 2 units / X
Simplifying the proportion: X = ($48 * 2) / 1
X = $96
Therefore, the largest share, which represents 2 units, is $96.
To find the total sum of money, we add up the values of all three shares:
$48 + $96 + $96 = $240
So, the total sum of money is $240.
To find the total sum of money, we need to determine the value of the largest share first. The ratio of the shares is given as 1 : 2 : 0.5, which can be simplified to 2 : 4 : 1.
Since the smallest share is worth $48, we can calculate the value of the largest share as follows:
Let x be the value of the largest share.
Then, we have the proportion: 1/0.5 = 48/x
To solve for x, we can cross-multiply and solve for x:
1 * x = 0.5 * 48
x = 24
Now that we know the value of the largest share is $24, we can calculate the value of the other shares. The shares are in the proportion 2:4:1, so the middle share is worth twice the smallest share, which is 2 * $48 = $96.
Therefore, the total sum of money is the sum of the three shares: $48 + $96 + $24 = $168.
The total sum of money is $168.