Answer:
[tex]x+y \geq 350[/tex] ... I
[tex]\frac{x}{15}+ \frac{y}{8} \geq 35[/tex] ... II
Step-by-step explanation:
Given that John is packing books into boxes to send to his cousins in case they are snowed in and want to do some light reading.
Let x represent the number of small books and y the number of large books.
The box capacity is either 15 small books or 8 large books
i.e. we have [tex]15x = 8y[/tex]
No of books is atleast 350 and no of boxes he needs is atleast 35
Total no of books =[tex]x+y \geq 350[/tex] ... I
is the first inequality
Next is he wants 35 boxes.
One box can hold either 15 small books or 8 large books.
For x books no of boxes required = x/15 and for y book no of boxes is y/8
Total no of boxes is atleast 35
[tex]\frac{x}{15}+ \frac{y}{8} \geq 35[/tex] ... II
