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

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent