Theresa has a chose of which pack of pencils to buy. At the store 20 pencils cost $4.00, or 12 pencils for $2,70.

A) which is the better buy based on its cost per pencil?

B) what is the difference of the cost per pencil between each pack?

4/20 = $_______ per pencil

2.7/12 = $_______ per pencil

To determine the better buy based on its cost per pencil, you need to compare the unit cost of each pack.

A) To find the cost per pencil for the first pack (20 pencils for $4.00), you divide the total cost by the number of pencils:
Cost per pencil = $4.00 / 20 pencils = $0.20 per pencil.

To find the cost per pencil for the second pack (12 pencils for $2.70), you perform the same calculation:
Cost per pencil = $2.70 / 12 pencils = $0.22 per pencil.

Comparing the two, you can see that the first pack costs $0.20 per pencil, while the second pack costs $0.22 per pencil. Therefore, the first pack (20 pencils for $4.00) is the better buy based on its lower cost per pencil.

B) To find the difference in the cost per pencil between the two packs, subtract the cost per pencil for the second pack from the cost per pencil for the first pack:
Difference = $0.20 - $0.22 = -$0.02 per pencil.

The difference in the cost per pencil between each pack is -$0.02, which means that the first pack is $0.02 cheaper per pencil than the second pack.