A cinnamon toast recipe calls for 6 parts sugar to 1 part cinnamon. Sort each set of ingredients into the appropriate bin to show whether it is proportional to the recipe.
To determine whether each set of ingredients is proportional to the recipe, we need to compare the ratio of sugar to cinnamon with the ratio of sugar to cinnamon in the recipe.
The recipe calls for 6 parts sugar to 1 part cinnamon.
If the ratio of sugar to cinnamon in a set of ingredients is also 6:1, then it is proportional to the recipe.
Let's analyze each set of ingredients:
Set 1:
- 12 parts sugar to 2 parts cinnamon
When we simplify the ratio of sugar to cinnamon in this set, we get 6:1, which is the same ratio as the recipe. Therefore, Set 1 is proportional to the recipe.
Set 2:
- 6 parts sugar to 1 part cinnamon
The ratio of sugar to cinnamon in Set 2 is the same as the recipe (6:1). Therefore, Set 2 is proportional to the recipe.
Set 3:
- 18 parts sugar to 3 parts cinnamon
When we simplify the ratio of sugar to cinnamon in this set, we get 6:1, which is the same ratio as the recipe. Therefore, Set 3 is proportional to the recipe.
Set 4:
- 8 parts sugar to 2 parts cinnamon
When we simplify the ratio of sugar to cinnamon in this set, we get 4:1. This ratio is not the same as the recipe (6:1). Therefore, Set 4 is not proportional to the recipe.
Set 5:
- 3 parts sugar to 1 part cinnamon
When we simplify the ratio of sugar to cinnamon in this set, we get 3:1. This ratio is not the same as the recipe (6:1). Therefore, Set 5 is not proportional to the recipe.
Final categorization:
Proportional to the recipe: Set 1, Set 2, Set 3
Not proportional to the recipe: Set 4, Set 5