john is packing books in 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

Question

system of linear inequalities

Answer 1

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

 

 

Your system of inequalities is:

 

x + y ≥ 35

15x + 8y ≥ 350