Atheatre contains 431 seats and the ticket prices for a record play were $53 for adults and $24 for children. if the total proceeds were $15,390 for a sold out mantinee, how many of each type of ticket were sold?

X = adult
y = children 

53(x+y=431)
53x +24y = 15390$

53x+53y = 22,843
subtract from
53x+24y = 15,390

29y = 7,453$
y = 257

53x + 24 (257) = 15,390
53x + 6,168 = 15,390
53x = 9,222
x = 174

OK, you have ten cans of paint worth 25 dollars a can. this gives you a grand total of 250 dollars worth of paint. Then you have 20 cans worth 30 dollars a piece, giving you a grand total of six hundred dollars. you would then add 250 to 600, giving you 850 dollars worth of paint. Then subtract 500 dollars. this will tell you that 350 dollars worth of paint was used.