Question

Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $6 for children. One hundred twenty-seven adults and children attended, and $1,053 was made in ticket sales. How many children and how many adults went to the film premiere

Answer 1

x = number of adult tickets

y = number of children tickets

9x + 6y = 1053

x+y = 127 so x = 127 - y

replace x = 127 - y into 9x + 6y = 1053

9(127 - y) + 6y = 1053

1143 -9y + 6y = 1053

-3y = 1053 -1143

-3y = -90

y = 30

x = 127 - 30

x = 97

answer: 97 adults and 30 children