Question

Question #0b474

Answer 1

A package of `8` is a better buy.

Explanation:

Our goal is to find the package which gives us the lowest cost per roll. We will do so by expressing each package and cost as a ratio of `"dollars"/"rolls"`, and reducing the fraction to the form `k/1 "dollars"/"roll"`.

For the first package, `2/8 = 0.25`, and so

`2/8 "dollars"/"rolls" = 0.25 "dollars"/"roll"`

For the second package, `2.79/10 = 0.279`, so

`2.79/10 "dollars"/"rolls" = 0.279 "dollars"/"roll"`

As a package of `8` costs `$0.029` less per roll, it is the better deal.

To see this with an example, with `$558.00`, we could buy `279` packages of `8`, which would give us `279xx8=2232` rolls, whereas with the same amount of money, we could only buy `200` packages of `10`, giving us `200xx10=2000` rolls.