Rodney has $20 to buy a notebook and some pens. The notebook cost $9 and a pack of pens

cost $4 dollars each. Determine the maximum number of a pack of pens, x Rodney can buy

Let x be the number of packs of pens Rodney can buy.

The total cost of the notebook and x packs of pens must be less than or equal to $20:
9 + 4x ≤ 20

Subtract 9 from both sides:
4x ≤ 11

Divide both sides by 4:
x ≤ 2.75

Since Rodney cannot buy a fraction of a pack of pens, he can buy a maximum of 2 packs of pens with $20.