Four students compared their recipes for making a snack mix. They use only granola and raisins to make 10 cups of snack mix, as described below.

Sandy mixes granola and raisins in a ratio of 4 to 1.
Josh uses a total of 2 cups of raisins.
Carla uses 1 cup of raisins for every 5 cups of snack mix.
Tony uses a total of 5 cups of granola.
Which student has a recipe that uses different amounts of granola and raisins compared to the other recipes?

granola/raisins is

Sandy: 4/1
Josh: ?/2
Carla: (5-1)/1
Tony: 5/?
now compare these ratios

To determine which student has a recipe that uses different amounts of granola and raisins compared to the other recipes, let's analyze each student's recipe one by one:

1. Sandy:
Sandy mixes granola and raisins in a ratio of 4 to 1. This means for every 4 cups of granola, Sandy uses 1 cup of raisins. Therefore, Sandy's recipe can be written as 4 cups of granola to 1 cup of raisins.

2. Josh:
Josh uses a total of 2 cups of raisins. However, we don't know how much granola he uses. So we cannot compare his recipe yet.

3. Carla:
Carla uses 1 cup of raisins for every 5 cups of snack mix. This means Carla's recipe is written as 5 cups of snack mix to 1 cup of raisins. Again, we don't know the specific amount of granola she uses.

4. Tony:
Tony uses a total of 5 cups of granola. However, we don't know how much raisins he uses. So we cannot compare his recipe yet.

Comparing the given information, we see that only Sandy's recipe provides a specific ratio of granola to raisins, while the other recipes do not provide such a ratio. Therefore, Sandy's recipe uses different amounts of granola and raisins compared to the other recipes.

To determine which student has a recipe that uses different amounts of granola and raisins compared to the other recipes, we need to compare the ratios of granola to raisins used by each student.

Let's analyze each student's recipe:

1. Sandy: Sandy mixes granola and raisins in a ratio of 4 to 1. This means for every 4 cups of granola, she uses 1 cup of raisins.

2. Josh: Josh uses a total of 2 cups of raisins. We don't have information about the amount of granola he uses, so we cannot compare the ratio directly.

3. Carla: Carla uses 1 cup of raisins for every 5 cups of snack mix. This means for every 1 cup of raisins, she uses 5 cups of snack mix, which includes a combination of granola and raisins.

4. Tony: Tony uses a total of 5 cups of granola. We don't have information about the amount of raisins he uses, so we cannot compare the ratio directly.

Based on the provided information, we can see that Sandy's recipe is the only one that explicitly states a ratio of granola to raisins. Therefore, Sandy's recipe has different amounts of granola and raisins compared to the other recipes.