Math Spiral 13: Math Practice Standard 3

Constructing viable arguments and critiquing the reasoning of others is a vital math skill to master. Jane argues that her recipe of 15 ounces of raisins and 20 ounces of trail mix is equivalent to Kayley’s recipe of 3 ounces of raisins and 4 ounces of trail mix. Kayley completely disagrees with Jane and says the two recipes are not equivalent at all. Who do you agree with and why? Be sure to specifically explain why the recipes are or are not equivalent (hint: upscaling and downscaling explain how to create equivalent ratios but do not explain why they are equivalent). Make sure to show your work so that the reader can further understand your argument.