Question

Captain Two-Pegs is going to load his pirate ship with cannons. He has room for 10 cannons. He has allotted for 111 pounds of cannon on his ship. He can choose from 9-pound cannons (the variable n) or 12-pound cannons (the variable t). Which equations would be a constraint to Captain Two-Pegs maximizing his cannon load?

(a) n - t = 10
(b) n = 10 + t
(c) 9n = 111 - 12t
(d) 9n = 111 + 12t

Answer 1

C.
`9n=111-12t`

Explanation:

Let us assume that,

n is the number of 9-pound cannons and,

t is the number of 12-pound canons.

As captain Two-Pegs has room for 10 cannons, so

`n+t=10` ---------------------------1

He has allotted for 111 pounds of cannon on his ship, so

`9n+12t=111` -------------------2

i.e
`9n=111-12t`

Therefore, option 3 is the equations that would be a constraint to Captain Two-Pegs maximizing his cannon load.

Answer 2

9n + 12t = 111
9n = 111 - 12t