64.7k views
4 votes
8. A sum of money is divided among three people in the ratio 15:18:7. Find the total sum of money

and the largest share given that the smallest share is
(b) 133
(c) 301

User PabloG
by
7.9k points

1 Answer

4 votes

Explanation:

The given ratio of the money divided among three people is 15:18:7. We can write this ratio as:

15x : 18x : 7x

where x is a common factor for all three terms.

Let's assume that the smallest share of the money is 133. Then, we can write:

7x = 133

Solving for x, we get:

x = 19

Substituting the value of x in the ratio, we get:

15x : 18x : 7x = 285 : 342 : 133

Therefore, the total sum of money is:

285 + 342 + 133 = 760

And the largest share of money is:

18x = 342

Hence, the total sum of money is 760 and the largest share of money is 342, given that the smallest share is 133.

User Mad Myche
by
8.0k points