Question

Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
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Answer 1

Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.

• The resulting mixture is 19% milk

Reasons:

The known quantities are;

The volume of milk Dita adds to an cup of coffee = 18 oz

The percentage of milk in the cup of coffee = 10%

Required:

The percentage milk in the resulting mixture.

Solution:

Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz

The total amount of milk in the resulting mixture = 2 oz + 1.8 oz =  3.8 oz

Volume of the resulting mixture = 2 oz + 18 oz = 20 oz

The percentage of milk in the resulting mixture is therefore;

$\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%$

The resulting mixture is 19% milk.

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