Final answer:
Alice's cooler has a higher ratio of lemonades to sprites (13:5) compared to Bob's (3:8), indicating different beverage preferences. The implication of these ratios is that Alice prefers lemonades while Bob prefers sprites, which may correspond with larger consumer preferences on taste or sugar content.
Step-by-step explanation:
We will analyze the ratio of lemonades to sprites in Alice's and Bob's coolers and discuss any patterns or trends regarding their beverage distribution. Alice has a total of 13 lemonades and 5 sprites, while Bob has 3 lemonades and 8 sprites. To calculate the beverage ratio, divide the number of lemonades by the number of sprites for each cooler.
Alice's Beverage Ratio
For Alice, the ratio of lemonades to sprites is 13 to 5. In simplest form, this ratio can also be expressed as 13:5, or about 2.6 to 1.
Bob's Beverage Ratio
For Bob, the ratio of lemonades to sprites is 3 to 8. This ratio simplifies to 3:8, or approximately 0.375 to 1.
Comparing these ratios, we see a clear preference in Alice's cooler for lemonades over sprites, while Bob's cooler shows a preference for sprites over lemonades. Potential scenarios that could be explored include analyzing taste preferences, variety needs, or responding to different consumer groups. For example, if a larger survey revealed that most people prefer lemonade, Alice's ratio seems more appealing, while if there is a strong preference for less sugary drinks, Bob's selection might be better perceived.
Scenarios such as an election for Soft Drink Commissioner can also illuminate consumer preferences. Despite the number of candidates representing each brand, the election outcome could be influenced by factors such as campaign strategies or overall brand loyalty.