Answer:
200
Step-by-step explanation:
Total amount to be distributed is $600.
Ratio of distribution is 1:2:3
Let the smallest share be x
Then the other shares will be 2x and 3x as per the ratio of distribution.
But sum of all shares is 600.
[tex]\[=> x+2x+3x=600\][/tex]
[tex]\[=> 6x=600\][/tex]
[tex]\[=> x=\frac{600}{6}\][/tex]
[tex]\[=> x=100\][/tex]
So the respective shares are 100,200 and 300.
Difference between the largest and smallest share is [tex]\[300-100 = 200\][/tex]
