1957ticketssold, cost $2, or $3, total amount collected $5035, how many of each were sold

Question

you are selling tickets. Student tickets cost 2.00 Adults tickets costs 3.00 You sell 1957 tickets and collect 5035.00 how many of each type of ticket did you sell

Answer 1

x  number of 2 rupee ticket

y  number of three rupee ticket.

2x + 3y = 5035

x +  y =1957

2x + 2y = 3914

y = 5035-3914=1121

therefore, x =1957 - 1121 = 836

Answer 2

you are selling tickets. Student tickets cost 2.00 Adults tickets cost 3.00 You sell 1957 tickets and collect 5035.00 how many of each type of tickets did you sell?

S + A = 1957

2S + 3A = 5035

2S + 2A = 3914

A = 1121

S = 836

1121 adult tickets and 836 student tickets were sold.

Answer 3

Answer : Adult ($3) = 1,121 ; Student ($2) = 836

Work :

2s + 3g = 5,035     -------------> 2s+ 3g = 5,035

(s + g = 1,957)-2 --------------->-2s - 2g = -3914

                                                        g = 1,121

1,121 +  s = 1957

-1,121          -1121

s = 836