Question

Captain Liz is going to load her cruise ship with bags of sugar. She has room for 19 bags of sugar. She has allotted for 121 pounds of sugar on her ship. She can choose from 7-pound bags (the variable s) or 10-pound bags (the variable p). Which equations would be a constraint to Captain Liz maximizing her sugar load?
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Answer 1

Answer:

$19 = s + p$ and $121 = 7s + 10p$

Step-by-step explanation:

First we use constraints given by the problem to set up two equations:

We can only have a total of 19 bags, so:

$19 = s + p$

Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:

$121 = 7s + 10p$