If $560 is sheared in the ratio 2:3:9, the difference between the largest and the smallest shares is

$80

$240

$280

$360

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