a sum of 102,000 is to be split by 3 people, (1) gets 5 times as much as (2) which gets 2/5 as much as (3).

how is this problem solved

x = amount for 3

2/5 x = amount for 2
5(2/5 x) = amount for 1

x + 2/5 x + 5(2/5 x) = 102,000
Solve for x