Question

4. John is packing books into boxes. Each box can hold either 15 small books or 8

large books. He needs to pack at least 35 boxes and at least 350 books, Write a
system of linear inequalities to represent the situation

Answer 1

Your system of inequalities is:

x + y ≥ 35

15x + 8y ≥ 350

Explanation:

Let x = number of boxes of small books and let y = number of boxes of large books.

Since John needs to pack at least 35 boxes:

(number of boxes of small books) + (number of boxes of large books) (is at least) 35

x + y ≥ 35

Since John needs to pack at least 350 books:

(number of small books packed) + (number of large books packed) (is at least) 350

(number of small books per box)(number of boxes of small books) + (number of large books per box)(number of boxes of small books) ≥ 350

15x + 8y ≥ 350