Answer:
The difference between the largest and the smallest shares is $280
Step-by-step explanation:
Total amount to be shared = $560
Ratios of share are 2:3:9 => Total of 14 equal portions
To get one portion, $560 / 14 = $40
First share is 2, therefore $40 x 2 = $80 (smallest share)
Second share is 3, therefore $40 x 3 = $120
Third share is 9, therefore $40 x 9 = $360 (largest share)
TOTAL = $560
The difference between the largest and the smallest = $360 - $80
= $280
