at a fottball game, 432 tickets where sold for 18240 dollars. adult ticket=50 and kids ticket=20. how many of each ticket where sold?
Let x be the number of kids tickets sold and y be the number of adult tickets sold
So we have
x + y = 432
And the number of each type of ticket sold times its price gives us the total reveue....so we have
20x + 50y = 18240 and using the first equation and subtracting x from both sides, we have.... y = 432 - x and subbing this into the 2nd equation for y, we have
20x + 50(432 -x) = 18240 simplify
20x + 21600 - 50x = 18240
-30x + 21600 = 18240 subtract 21600 from each side
-30x = -3360 divide by -30 on each side
x =112 and that's the number of kids tickets sold
And y= 432 - x = 432 - 112 = 320 and that's the number of adult tickets sold