The first recipe is nuttier than the second recipe.
Step-by-step explanation:
Step 1:
The first recipe uses 5 cups of cereal and [tex]2\frac{1}{2}[/tex] cups of nuts while the second recipe uses 3 cups of cereal and 1 cup of nuts.
To determine which recipe is nuttier, we convert the two recipes to the same scale.
The first recipe uses 5 cups of cereal while the second recipe uses 3 cups of cereal.
The number 15 is the least common multiple of 5 and 3.
Step 2:
In order to convert 5 cups to 15 cups, we multiply 5 by 3 so 15 cups of cereal have [tex](2.5)(5)= 12.5[/tex] cups of nuts i.e. [tex]2\frac{1}{2} = 2.5[/tex].
In order to convert 3 cups to 15 cups, we multiply 3 by 5 so 15 cups of cereal have [tex](1)(5) = 5[/tex] cups of nuts.
So for 15 cups of cereal, the first recipe has 12.5 cups of nuts while the other recipe has 5 cups of nuts.
So the first recipe is nuttier than the second recipe.
