Final answer:
By comparing the ratios and the amounts of ingredients used, Ariel makes a larger batch of snack mix than Scott. Scott has a total of 15 cups in his batch, while Ariel's batch is 16 cups. Hence Ariel would make a larger batch of snack mix.
Step-by-step explanation:
To find out who would make a larger batch of snack mix, we need to compare the ratios and amounts of ingredients used by Scott and Ariel. Scott's mix includes a ratio of 2 cups of almonds to 3 cups of raisins, while Ariel's mix has a ratio of 3 cups of almonds to 5 cups of sea followers. Additionally, Scott uses 6 cups of almonds for his batch.
To calculate the size of Scott's batch first, we multiply the almonds by 1.5 (since for every 2 cups of almonds, there are 3 cups of raisins) to get the total cups of almonds and raisins, which is 6 cups of almonds times 1.5 equals 9 cups of raisins, leading to a total of 15 cups for Scott's mix. To find Ariel's total batch size, we need to determine the amount of sea followers that correspond to the 6 cups of almonds based on her ratio.
Setting up a proportion, we have: 3 cups of almonds to 5 cups of sea followers = 6 cups of almonds to x cups of sea followers. Solving the proportion, we find that x equals 10.
Therefore, Ariel will use 6 cups of almonds and 10 cups of sea followers for a total of 16 cups. Comparing the two, Ariel makes a slightly larger batch than Scott.