UTM Question on Repeated Identity

Dear Mr Sunny Tan

I have bought your UTM handbk but unable to solve this question. Hope you will help. 

Andy, Betty, Candy and Danny each has some money. The amount of money Andy has is 1/3 of the total amount of money Betty, Candy and Danny have. The amount of money Betty has is 1/4 of the total amount of money Andy, Candy and Danny have. The amount of money Candy has is 1/5 of the total amount of money Andy, Betty and Danny have. If Danny has $1725, how much do they have altogether?

Mr Teo

From the Desk of Sunny Tan........