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 b
, where b equals
the number of books, to help figure
this out. Solve his inequality. Use the
letter as your variable and write
your b term first.
Note: You will find the option to add
a >,<,≥ or ≤ symbol in the
Comparison (<) keyboard.
(1 point)
1.2b + 35 < 50 b
Subtract 1.2b from both sides:
35 < 50 b - 1.2b
Combine like terms:
35 < 48.8 b
Now, divide both sides by 48.8:
35/48.8 < b
0.7172 < b
Therefore, Youssef could bring a maximum of 0.7172 books on his trip. Since he can't bring a fraction of a book, the maximum number of books he can bring is 0.