Problema Solution

The price of an adult ticket is $15 and the price of a student ticket is $6. If the total income from the tickets is $2700, and 300 tickets are sold, how many of each kind are sold?

Answer provided by our tutors

let


x = the number of adult tickets


y = the number of student tickets


the total income from the tickets is $2700:


15x + 6y = 2700


300 tickets are sold:


x + y = 300


by solving the system of equations:


15x + 6y = 2700


x + y = 300


we find:


x = 100 adult tickets


y = 200 student tickets


click here to see the step by step solution of the system of equations:


Click to see all the steps



there are 100 adult and 200 student tickets sold.