Question

A manufacturer of paper towels usually sells them in packs of 8 rolls, where each roll provides 41.3 ft^2 of paper towel. They are introducing a new size of roll, providing 50.83 ft^2 of paper towel. They plan to sell them in 6-packs.

A. How many square feet of paper towel are there in an 8-pack of regular size towels?
_____
B. If an 8-pack of regular size towels costs $7.69, how much is that (to the nearest tenth of a cent) per square foot?
_____¢
C. How many square feet of paper towel are there in a 6-pack of big towels?
_____
D. If a 6-pack of big towels costs $7.99, how much is that (to the nearest tenth of a cent) per square foot?
_____¢
E. Which form of packaging represents the better value for money?
the 8-pack of big towels OR the 6-pack of big towels

Answer 1

Calculations reveal that the 8-pack of regular-size towels provides more square footage at a lower cost per square foot than the 6-pack of big towels, making it the better value for the money.

Step-by-step explanation:

To solve these problems, we need to perform some simple arithmetic operations. Let's address each part of the question step by step:

1. Total square feet in an 8-pack of regular-size towels: 8 rolls × 41.3 ft²/roll = 330.4 ft².
2. Cost per square foot for the 8-pack of regular-size towels: $7.69 / 330.4 ft² ≈ $0.02327 per ft², or 2.3 cents per square foot.
3. Total square feet in a 6-pack of big towels: 6 rolls × 50.83 ft²/roll = 304.98 ft².
4. Cost per square foot for the 6-pack of big towels: $7.99 / 304.98 ft² ≈ $0.02618 per ft², or 2.6 cents per square foot.
5. To determine the better value for money, we compare the cost per square foot for each packaging. The 8-pack of regular-size towels is the better value at approximately 2.3 cents per square foot compared to the 6-pack of big towels at 2.6 cents per square foot.