among the student of silu 50% liked tea 70% liked coffee 10% donot like both if 120 student like both then how mamy student were there in silu?
To find out how many students there were in Silu, we need to make use of the given information.
Let's assume the total number of students in Silu is "x".
According to the given information:
- 50% liked tea, which means 50% liked only tea.
- 70% liked coffee, which means 70% liked only coffee.
- 10% didn't like either tea or coffee.
- 120 students liked both tea and coffee.
From this information, we can set up the following equations:
Students who liked only tea: 50% of x = (50/100) * x
Students who liked only coffee: 70% of x = (70/100) * x
Students who didn't like either tea or coffee: 10% of x = (10/100) * x
Now, let's calculate the number of students who liked only tea or only coffee:
Students who liked only tea = (50/100) * x
Students who liked only coffee = (70/100) * x
We can calculate the total number of students who liked either tea or coffee by summing these two:
Total students who liked either tea or coffee = Students who liked only tea + Students who liked only coffee
Total students who liked either tea or coffee = (50/100) * x + (70/100) * x
Now, let's calculate the total number of students:
Total number of students = Total students who liked either tea or coffee + Students who liked both tea and coffee + Students who didn't like either tea or coffee
Total number of students = (50/100) * x + (70/100) * x + 120 + (10/100) * x
We know that the Total number of students is equal to x, so we can set up the equation:
x = (50/100) * x + (70/100) * x + 120 + (10/100) * x
Now, we can solve this equation to find the value of x, which represents the total number of students in Silu.