Question

John goes to a bookstore. he wants to buy at. most 25 books and spend at most $75. paperback books cost 1.75 and har cover books cost 2.50. create a system of linear inequalities that could be used to determine all the different combination of paperback and hardcover books he can purchase

Answer 1

paper back books be p

hard cover books be h

The system is

• p+h≤25

And for cost.

• 1.75x+2.5y≤75

Answer 2

• x + y ≤ 25
• 1.75x + 2.50y ≤ 75

Explanation:

• Paperback books = x
• Hard cover books = y

Number of books:

• x + y ≤ 25

Cost of books:

• 1.75x + 2.50y ≤ 75

The system above is the one we need