In Samuel's sports memorabilia collection there are 27 hockey items, 36 baseball items, and 29 football items. Which pair of item classifications (hockey, baseball, football) exists in the largest ratio?
To find the pair of item classifications that exists in the largest ratio, we need to compare the ratios of each pair of item classifications.
First, let's calculate the ratio of hockey items to baseball items:
Ratio of hockey to baseball = Number of hockey items / Number of baseball items = 27 / 36 = 0.75
Next, let's calculate the ratio of hockey items to football items:
Ratio of hockey to football = Number of hockey items / Number of football items = 27 / 29 = 0.931
Lastly, let's calculate the ratio of baseball items to football items:
Ratio of baseball to football = Number of baseball items / Number of football items = 36 / 29 = 1.241
Comparing the ratios, we can see that the largest ratio exists between baseball and football items, with a ratio of 1.241. Therefore, the pair of item classifications that exists in the largest ratio is baseball and football.