There are 450 people in a society who like three different types of foods: X, Y, and Z. The ratio of people who like only food X, only food Y, and onl...

There are 450 people in a society who like three different types of foods: X, Y, and Z. The ratio of people who like only food X, only food Y, and only food Z is 5 : 7 : 3 respectively. The number of people who like all three foods is 50% of the number of people who like only food Y. The sum of people who like only food Y & food Z and those who like only food X & food Y is 50. The number of people who like only food X & food Z is 30.
If the ratio of the number of people who like only food X & food Y to the number of people who like only food Y & food Z is 2 : 3, then find the ratio of the number of people who like food X to the number of people who like food Z.