Question #0b474

1 Answer
Sep 22, 2016

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.