Question 1199241
x = the number of regular tickets.
y = the number of discounted tickets.
your equations are:
x + y = 400
30x + 25y = 11200
these two equations need to be solved simultaneously.
multiply both sides of the first equation by 30 and leave the second equation as is to get:
30x + 30y = 12000
30x + 25y = 11200
subtract the second equation from the first to get:
5y = 800
solve for y to get:
y = 800/5 = 160
since x + y = 400, then x = 240
your solution is that 240 adult tickets were sold and 160 discount tickets were sold.
x + y = 400 becomes 240 + 160 = 400 which is true.
30x + 25y = 11200 becomes 30 * 240 + 25 * 160 = 11200 which is true.
solution is confirmed to be good.
required solution is that 240 tickets were purchased at the regular price.