Jackson used 1/5 of his savings for his first year of college. 2/3 of that money was spent on his tuition. which equation shows the fraction of his total savings that was spent on his tuition?

Let Jackson's savings be X and the tuition be Y
he spent 1/5X for his first year of college
he spent 2/3 of 1/5X on his tuition
so the fraction spent on tuition is (3/2 x 1/5)X= 3/10X
so Jackson spent 3/10 of his savings on tuition
 from here we can write the equation as (3/2x1/5)X=Y