Question

Michael is packing books into boxes. Each box can hold either 15 small books or

Answer 1

Let x equal the number of tiny book boxes and y equal the number of large book boxes.

Because John must pack at least 35 boxes:

(number of tiny book boxes) + (number of large book boxes) = (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

GO INTO DESMOS TO GRAPH