Question

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer: (Choice A) A Arjun's hot cocoa (Choice B) B Eli's hot cocoa (Choice C) C The two cocoas are equally chocolatey.

Answer 1

Answer:

Arjun's brother

Step-by-step explanation:

Given

Arjun = 20mL chocolate syrup to 3 ounce of hot water

Brother = 45mL chocolate syrup to 6 ounce of hot water

Required

Which is more chocolatey?

To get which is more chocolatey, we simply calculate the unit rate of chocolate per 1 ounce of hot water.

$Unit\ Rate = \frac{Chocolate\ Syrup}{Hot\ Water}$

For Arjun

$Unit\ Rate = \frac{20}{3}$

$Unit\ Rate = 6.67mL/oz$

For his brother

$Unit\ Rate = \frac{45}{6}$

$Unit\ Rate = 7.5mL/oz$

By comparison 7.5 > 6.67

Hence, Arjun brother's chocolate is more chocolatey.