Answer:
Juice is approximately 83,33% more popular than tea among the group of people
Step-by-step explanation:
Let's break it down:
100 people drink juice but not tea
50 people drink tea but not juice
130 people drink neither tea nor juice
Total = Tea + Juice - Both + Neither
300 = (50 + x) + (100 + x) - x + 130
Simplifying the equation, we get:
300 = 150 + 2x + 130
2x = 20
x = 10
So, 10 people drink both tea and juice.
Now lets calculate the total number of people who drink tea and juice:
Tea: 50 (tea but not juice) + 10 (both) = 60
Juice: 100 (juice but not tea) + 10 (both) = 110
To find the percentage by which juice is more popular than tea:
((110 - 60) / 60) * 100%
= (50 / 60) * 100%
= 83.33%
