Asum of money is divided in the ratio 3: 5: 9. calculate the smallest share given that the largest share is $54.

Ratio 3:5:9added = 17the largest share will then get 9/17 of the total amount. The largest share will get 54.
So 9/17 of the total money is 54...
9/17x = 54
x = 54 / (9/17)
x = 54 * 17/9
x = 102so the total amount of money is 102

the smallest share gets : 3/17 * 102 = 18 <===
the middle share gets : 5/17 * 102 = 30
the largest share gets : 9/17 * 102 = 54