Questionwith a stronger chocolate flavor than if you blended 3 scoops of chocolate ice cream with 2 cups of milk. Explain or show why.
Studdy Solution
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 of chocolate ice cream blending with 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 of milk, the chocolate concentration is simply .
Boom!
STEP 5
Now, onto the second milkshake!
This time, we're mixing of chocolate ice cream with of milk.
STEP 6
Again, we're after the chocolate concentration, which is the amount of chocolate per cup of milk.
We have of chocolate and of milk.
So, the concentration is .
Perfect!
STEP 7
Time for the taste test... mathematically!
Milkshake 1 has a chocolate concentration of , while Milkshake 2 has a concentration of .
STEP 8
Since , the first milkshake has a higher chocolate concentration.
That means it's got a stronger chocolate flavor!
STEP 9
The milkshake made with of ice cream and of milk has a stronger chocolate flavor.
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