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

Question

, 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)
Youssef can bring blank
books.

Answer 1

To solve the inequality \(1.2b + 35 < 50\):

1. Subtract 35 from both sides: \[ 1.2b < 50 - 35 \] \[ 1.2b < 15 \]

2. Divide both sides by 1.2: \[ b < \frac{15}{1.2} \] Calculating the right side: \[ \frac{15}{1.2} = 12.5 \]

Since \(b\) must be a whole number (since you can't bring a fraction of a book), we round down to the nearest whole number. Thus, Youssef can bring at most 12 books.

Therefore, Youssef can bring 12 books.