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)
Youssef can bring
books.
Skip to navigation
1 answer
To solve the inequality \(1.2b + 35 < 50\), we first isolate the variable \(b\).
\[ 1.2b < 50 - 35 \]
\[ 1.2b < 15 \]
\[ b < \frac{15}{1.2} \]
\[ b < 12.5 \]
Since \(b\) represents the number of books, and must be a whole number, we take the greatest whole number less than 12.5.
Thus, the maximum number of whole books Youssef can bring is:
\[ b = 12 \]
Therefore, Youssef can bring 12 books on his trip.
1 answer
1 answer
1 answer
1 answer