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

so you know you need two equations to solve it

so a = 220 - c

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

5. 4.5c - 6.5c + 1430 = 1270

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

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