KöMaL 2023 K766

Alpha, Lambda and Zeta each have more than 1000 forints (HUF, Hungarian currency) on their bank accounts. Lambda's money equals 35 percent of Alpha's money, and Zeta's money equals $\frac{12}{7}$ of Lambda's money. How much money do Alpha, Lambda and Zeta have altogether if Zeta has $10 110$ forints more than Lambda?