Math Snap

STEP 1

What is this asking?
Which milkshake has more chocolate per cup of milk?
Watch out!
Don't just compare the number of scoops–think about the ratio of chocolate to milk!

STEP 2

1. Calculate Chocolate Concentration for Milkshake 1
2. Calculate Chocolate Concentration for Milkshake 2
3. Compare the Results

STEP 3

Alright, let's dive into the first delicious milkshake!
We've got $\text{2 scoops}$ of chocolate ice cream blending with $\text{1 cup}$ of milk.

STEP 4

We want to figure out how much chocolate we have per cup of milk.
This is like finding the chocolate concentration.
Since we only have $\text{1 cup}$ of milk, the chocolate concentration is simply $\frac{\text{2 scoops}}{\text{1 cup}} = \text{2 scoops/cup}$.
Boom!

STEP 5

Now, onto the second milkshake!
This time, we're mixing $\text{3 scoops}$ of chocolate ice cream with $\text{2 cups}$ of milk.

STEP 6

Again, we're after the chocolate concentration, which is the amount of chocolate per cup of milk.
We have $\text{3 scoops}$ of chocolate and $\text{2 cups}$ of milk.
So, the concentration is $\frac{\text{3 scoops}}{\text{2 cups}} = \frac{3}{2} \text{ scoops/cup} = \text{1.5 scoops/cup}$.
Perfect!

STEP 7

Time for the taste test... mathematically!
Milkshake 1 has a chocolate concentration of $\textbf{2 scoops/cup}$, while Milkshake 2 has a concentration of $\textbf{1.5 scoops/cup}$.

STEP 8

Since $2 > 1.5$, the first milkshake has a higher chocolate concentration.
That means it's got a stronger chocolate flavor!

The milkshake made with $\text{2 scoops}$ of ice cream and $\text{1 cup}$ of milk has a stronger chocolate flavor.