Question

when arjun makes strawberry milk, he adds \\(90\text{ ml}\\) of milk for every \\(20\text{ ml}\\) of strawberry syrup. arjuns brother, eli, adds \\(180\text{ ml}\\) of milk for every \\(45\text{ ml}\\) of strawberry syrup.

which strawberry milk has a stronger strawberry taste?

choose 1 answer:

a arjuns strawberry milk
b elis strawberry milk
c the drinks have an equal strawberry taste.

Explanation:

Identify the given values

We have two recipes:

• Arjun: \(90\text{ mL}\) milk for every \(20\text{ mL}\) syrup.
• Eli: \(180\text{ mL}\) milk for every \(45\text{ mL}\) syrup.

Define the target comparison

We compare the syrup-to-milk ratios.
A higher ratio means stronger taste.

Calculate Arjun's ratio

Using Word Problems skills:

$$ \text{Ratio}_{\text{Arjun}} = \frac{20\text{ mL syrup}}{90\text{ mL milk}} = \frac{2}{9} \approx 0.222 $$

Calculate Eli's ratio

Using Word Problems skills:

$$ \text{Ratio}_{\text{Eli}} = \frac{45\text{ mL syrup}}{180\text{ mL milk}} = \frac{1}{4} = 0.25 $$

Compare the ratios

Compare the fractions:

$$ \frac{1}{4} = \frac{9}{36} > \frac{2}{9} = \frac{8}{36} $$

Eli's drink has more syrup per unit of milk.
Thus, Eli's drink is stronger.

Answer:

• (A) Arjun's strawberry milk
• (B) Eli's strawberry milk (Correct answer)
• (C) The drinks have an equal strawberry taste.