In a society of 450 people, there are three types of foods: X, Y, and Z. The number of people who like only food X, only food Y, and only food Z are i...
Question
In a society of 450 people, there are three types of foods: X, Y, and Z. The number of people who like only food X, only food Y, and only food Z are in the ratio 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 total number of people who like only food Y and food Z combined and those who like only food X and food Y combined is 50. The number of people who like only food X and food Z is 30.
What is the sum of the number of people who like only food Z and only food X?