Final answer:
To find the number of students who like both apple and orange, subtract the students who don't like both from the total number of students who like apple and orange. However, there seems to be an error in the given information.
Step-by-step explanation:
To find the number of students who like both apple and orange, we need to subtract the students who don't like both from the total number of students who like apple and orange. Let's break it down:
Given: Total number of students = 160
Ratio of students who like orange and apple = 3:2
Number of students who like both = 20
Number of students who don't like both = 30
Let's find the number of students who like apple and orange:
Number of students who like both = 20
Number of students who don't like both = 30
Number of students who like apple and orange = Number of students who like both - Number of students who don't like both
Number of students who like apple and orange = 20 - 30 = -10
Since we can't have a negative number of students, it means that there is an error in the given information. Please double-check the information provided.