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. How many books could he bring on the trip? 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.(1 point)
To solve the inequality 1.2b + 35 < 50, start by subtracting 35 from both sides:
1.2b < 15
Now, divide both sides by 1.2:
b < 12.5
So, Youssef can bring up to 12 books on the trip since he cannot bring a fraction of a book.
To solve the inequality 1.2b + 35 < 50, we need to isolate the variable "b" on one side of the equation.
First, let's subtract 35 from both sides of the equation:
1.2b + 35 - 35 < 50 - 35
Simplifying, we get:
1.2b < 15
Now, to isolate "b", we divide both sides of the equation by 1.2:
1.2b / 1.2 < 15 / 1.2
Simplifying further, we get:
b < 12.5
Therefore, Youssef can bring a maximum of 12 books on his trip to ensure the total weight of his suitcase (including clothes and books) remains under 50 pounds.
To solve the inequality 1.2b + 35 < 50 for the number of books (b) Youssef can bring on the trip, we need to isolate the variable b.
1.2b + 35 < 50
Subtract 35 from both sides of the inequality:
1.2b < 50 - 35
1.2b < 15
Divide both sides of the inequality by 1.2 to solve for b:
b < 15 ÷ 1.2
b < 12.5
Therefore, Youssef can bring a maximum of 12 books on his trip to ensure his suitcase weighs less than 50 pounds.