Problema Solution

1435 tickets are sold to a game. Admission cost $5 for some tickets $10 for others. The total ticket sales were $11,400. How many $10 tickets were sold

Answer provided by our tutors

let


x = the number of 5$ tickets

y = the number of 10$ tickets


1435 tickets are sold to a game


x + y = 1435


total $5 ticket sales + total $10 ticket sales = total ticket sales were $11,400


5x + 10y = 11400


by solving the system of equations


x + y = 1435

5x + 10y = 11400



we find


x = 590 tickets


y = 845 tickets


845 tickets by $10 each were sold.