Problem 1: Joann can add 3 books or less.
The package weighs 9.5 ounces.
You can represent this in an inequality, where Joann wants the package to weigh less than or equal to 32 ounces:
[tex]7.5b + 9.5 \leq 32[/tex], where B = the number of books she adds.
You can then simplify this equation:
[tex]7.5b \leq 22.5[/tex]
Joann can add 3 books or less.
Problem 2: Kierra can get less than 12 questions wrong.
Kierra needs more than an 82 to make her goal.
You can represent this in an inequality, where Kierra can only get a certain amount of questions wrong:
[tex]100 - 1.5q > 82[/tex], where Q = the questions Kierra gets wrong.
You can then simplify this equation:
[tex]-1.5q > -18\\[/tex]
Kierra can get 12 questions wrong to get an 82, but needs LESS than 12 wrong to get above an 82.
Problem 3: Hunter must walk 11.7 miles per day or more to finish.
Hunter is hiking 52 miles over 4 days, and wants to make sure they can finish the hike after walking 28.6 in 2 days.
You can represent this in an inequality, where Hunter wants to walk the remainder of the hike in 2 days:
[tex]28.6 + 2m > 52[/tex], where M = the number of miles Hunter walks per day.
You can then simplify this equation:
[tex]2m \geq 23.4\\m \geq 11.7[/tex]
Hunter must walk 11.7 miles or more to finish the trail.
