Problema Solution

one evening 1600 concert tickets were sold. tickets cost $30 for covered pavilion seats and $15 for lawn seats. total recipts were $30,000. how many tickets of each type were sold?

Answer provided by our tutors

let


c = the number of covered pavilion tickets sold

l = the number of lawn seats tickets sold


one evening 1600 concert tickets were sold


c + l = 1,600


total recipts were $30,000


30c + 15l = 30,000


by solving the system of equations


c + l = 1,600

30c + 15l = 30,000


we find


c = 400 covered pavilion seats


l = 1,200 lawn seats


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


Click to see all the steps



there were 400 covered pavilion tickets and 1,200 lawn seats tickets sold.