if a cinema took in $1270 in ticket sales for a movie that 220 people attended. child tickets are $4.50 and adults ate $6.50, how many children attended?

Question

sandra · Answer

there are two unknowns, the number of child tickets sold and the number of adult tickets sold

sandra · Answer

so you know you need two equations to solve it

sandra · Answer

1.  c + a = 220
2.  4.5c + 6.5a = 1270
3.  Now you want to take the value of a in the first equation, and substitute it into the seocnd

sandra · Answer

so a = 220 - c

sandra · Answer

4.  4.5c +  6.5* (220 -c) = 1270

sandra · Answer

5. 4.5c - 6.5c + 1430 = 1270

sandra · Answer

6.  now get all of the c's on one side, and the plane numbers on the other

sandra · Answer

so  1430 - 1270 = 6.5c - 4.5c
160 = 2c
c = 80