Answer:
Step-by-step explanation:
go-kart = Gk
Head sock = Hs   (what?  a sock in the head?  :/ what ?? )
Laser tag = Lt
Eq 1 ) Gk + Hs + Lt = 33
Eq 2) 2Gk + Hs + 0Lt = 48
Eq 3) 2Gk + Hs + 2Lt =64
This is a system of equations  w/ 3 unknowns and 3 equations so we can solve this. :) 
subtract Eq 2 from Eq 3
   2Gk +Hs +2Lt =64
-(2Gk +Hs +0Lt =48)
0Gk + 0 Hs +2Lt = 16
Lt =8    
so one Laser tag game is 8 dollars.. good... now use  8 in Eq. 1 and 3 for Lt price
Eq 1a) Gk + Hs +8 =33    simplify
Eq 1b) Gk + Hs = 25
Eq 3a) 2Gk +Hs +2(8) = 64  simplify
Eq3b) 2Gk + Hs =48
subtract Eq 1b from Eq 3b
 2Gk + Hs =48
-(Gk + Hs =25)
 Gk = 23
so one Gk ride costs 23 dollars and plug this into Eq 1
23 + Hs + 8 = 33
Hs = 2
Question 1  )  Gk = 23  Hs = 2 Lt = 8 
solve new systems, same as above but  with the new prices
Eq 1r ) Gk + Hs + Lt = 18
Eq 2r) 2Gk + Hs + 0Lt = 29
Eq 3r) 2Gk + Hs + 2Lt =35
subtracting 2r from 3r we get 2Lt = 6   then Lt =3  for the new price
plug that into 1r and 3r 
Eq 1br) Gk + Hs = 15
Eq 3br) 2Gk +Hs = 29
subtract 1br from 3br
  Gk = 14
plug this into 1r
Hs =1
Question 2 ) Gk=14 Hs =1 Lt=3
Question 3)  wants 2 Hs and 2 Lt 
w/o coupon the activities cost 2 ( 2+8)  = 20 dollars
but there is no coupon for 2 of each game
so  no, don't buy a coupon.. just play at full price 
Hustler side note.. buy two of the 18 coupons and sell the 2 Gk rides to your   teacher for 15 dollars each, still a good deal to guarantee a good grade on your Home Work ..  (30 total)...... and get your games for just 6 dollars... excellent deal for you   :)