Question

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?

Answer 1

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

Answer 2

so you know you need two equations to solve it

Answer 3

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

Answer 4

so a = 220 - c

Answer 5

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

Answer 6

5. 4.5c - 6.5c + 1430 = 1270

Answer 7

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

Answer 8

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