Question

youssef is taking a trip on an airplane. he knows that to avoid extra fees his suitcase must weigh under 50 pounds. the suitcase with his clothes weighs 35 pounds. he has room, so he decides to pack some books for his trip, too. each book weighs on average 1.2 pounds. he writes the inequality $1.2b + 35 < 50$, where $b$ equals the number of books, to help figure this out. solve his inequality. use the letter $b$ as your variable and write your $b$ term first. after solving the inequality, use your answer to determine how many whole books youssef can bring on his trip. (1 point)

Explanation:

Step1: Isolate the term with $b$

Subtract 35 from both sides:
$1.2b + 35 - 35 < 50 - 35$
Simplify: $1.2b < 15$

Step2: Solve for $b$

Divide both sides by 1.2:
$\frac{1.2b}{1.2} < \frac{15}{1.2}$
Simplify: $b < 12.5$

Step3: Find whole number of books

Since $b$ must be a whole number (you can't pack a fraction of a book) and must be less than 12.5, the largest whole number is 12.

Answer:

The solved inequality is $b < 12.5$, so Youssef can bring 12 whole books.