Final answer:
The cost for each activity is $10 for a go-kart race, $3 for a head sock, and $5 for a laser tag game. If someone wants two laser tag games and two head socks, separately that would cost $16, which is less than any of the packages. Therefore, they should not purchase a coupon.
Step-by-step explanation:
To determine the cost of each activity, we should analyze the information given in the three options and set up a system of equations to find the cost of go-kart racing, a head sock, and a laser tag game.
- Option 1: $18 for one go-kart race (G), one head sock (H), and one laser tag game (L).
- Option 2: $29 for two go-kart races and one head sock.
- Option 3: $35 for two go-kart races, one head sock, and two laser tag games.
From option 1, we can write the equation G + H + L = $18.
From option 2, we have 2G + H = $29, and from option 3, we have 2G + H + 2L = $35.
Solving these equations, we find that the cost for each activity is:
- Go-kart race (G): $10
- Head sock (H): $3
- Laser tag game (L): $5
If you want only two laser tag games and two head socks, you will pay $10 (2 * $5 for laser tag) + $6 (2 * $3 for head socks) = $16.
Since the cheapest package is $18 and includes other activities, it would be more cost-effective to pay for the desired items separately if you only want two laser tag games and two head sock games. Therefore, you should not purchase a coupon.