Algebra 1 Assignment! Help needed as soon as possible! thanks so much to whoever helps! have a nice day

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   :)

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