Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $5 for children. One hundred eight adults and children attended, and $777 was made in ticket sales. How many children and how many adults went to the film premiere?

Accepted Solution

Answer:79 adults and 29 children.Step-by-step explanation:Let a be the number of adults and c the number of children . Then we have the following system of equations:a + c = 108           (number attended)8a + 5c = 777      (total made in ticket sales)Multiply the first equation by -5:-5a - 5c = -540   Now add this to the second equation:+ 8a + 5c = 2373a = 237a = 79.so c =  108 - 79= 29.