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

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)

GPT-4o mini · Answer

To solve the inequality $1.2b + 35 < 50$, we first isolate the term with $b$. 1. Subtract 35 from both sides: $$ 1.2b < 50 - 35 $$ $$ 1.2b < 15 $$ 2. Next, divide both sides by 1.2 to solve for $b$: $$ b < \frac{15}{1.2} $$ 3. Calculate $\frac{15}{1.2}$: $$ \frac{15}{1.2} = 12.5 $$ Thus, we have: $$ b < 12.5 $$ Since $b$ must be a whole number, the maximum number of whole books Youssef can bring is 12. Therefore, the solution is: $$ b \leq 12 $$ Youssef can bring **12 whole books** on his trip.