Question

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. Let S=# of small books and L=# of large books. Write a system of linear inequalities to model the situation. #book inequality #boxes inequality

Answer 1

`\begin{gathered} x+y\ge36 \\ 15x+8y\ge350 \end{gathered}`

Step-by-step explanation:

Let x represent the number of boxes of small books.

Let y represent the number of boxes of large books.

From the question, we're told that he needs to pack at least 35 boxes. It means that John can either pack 35 boxes or more but not less. So our inequality can be written as;

`x+y\ge36`

We're also told that the number of books that John needs to pack should be at least 350, this means that he can either pack 350 books or more but not less. So our inequality can be written as;

`15x+8y\ge350`