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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