Final answer:
Taylor can buy at most 7 packs of colored pencils with her $20.
Step-by-step explanation:
Taylor has $20 to spend on school supplies and a pack of colored pencils costs $2.75. Taylor wants to determine how many packs she can buy using the inequality 2.75p < 20, where p is the number of packs of colored pencils. To solve this inequality, we need to divide both sides by 2.75 to isolate p. Dividing 20 by 2.75 gives us approximately 7.27. Since we can't have a fraction of a pack of colored pencils, we round down to the nearest whole number, which is 7. Therefore, Taylor can buy at most 7 packs of colored pencils with her $20.