A class of 35 students ordered tickets to the movies: some at $40 each and some at $25 each. The total cost of the tickets was $1220. How many of $40 tickets were ordered?

Question

Variables needed to solve.

Answer 1

F+T =35

40F+20T = 1220

25F+25T = 875 1st equation times 25, then subtract

25F = 520 then divide by 25

F=520/25 = 23 $40 tickets sold

T= 12 $25 tickets sold

Answer 2

Well suppose x $ 40

Then 35-x at $ 25

Total cost = 40x + 25 (35-x) = 1220

40x + 875 - 25x = 1220

15x = 345

x = 345 / 15 = 23

So 23 $ 40 tickets sold