Linear Equations Questions

A group of $1280$ individuals, consisting of teachers and students, is attending a conference. For every $15$ students, there is one teacher. How many teachers are in the group?

A group of 6 chairs and 3 tables together has 54 legs. If each chair has 4 legs, how many legs does one table have ?

If half of a number is equal to two-thirds of 60, find the number.

The average per day income of A, B and C is $\text{Rs. }45$. If the average per day income of A and B is $\text{Rs. }40$ and that of B and C is $\text{Rs. }43$, then the per day income of B is:

There were two candidates in an election. $10\%$ of voters did not cast their votes. $60$ votes were found invalid. The winning candidate got $47\%$ of the total votes and won by $308$ votes. Find the number of voters enrolled.