Question

A milk and honey mixture is 20% honey. Another 120 ml of honey is added to it. After this addition, the resulting mixture has 150 ml of honey. What is the volume of milk in the final mixture?

• A. 90 ml
• B. 105 ml
• C. 120 ml
• D. 135 ml
• E. 150 ml

Hint:

To solve mixture problems, break down the components of the mixture and use the given information to form equations.

Answer 1

The Correct Option is D

Let the volume of the milk in the initial mixture be \( x \) ml.
Step 1: In the original mixture, 20% of the mixture is honey, so the volume of honey in the initial mixture is \( 0.2x \) ml.
Step 2: After adding 120 ml of honey, the total amount of honey becomes \( 0.2x + 120 \) ml.
Step 3: We are given that the final mixture contains 150 ml of honey, so: \[ 0.2x + 120 = 150 \] Step 4: Solve for \( x \): \[ 0.2x = 150 - 120 = 30 \] \[ x = \frac{30}{0.2} = 150 \text{ ml} \] Step 5: Thus, the total volume of the mixture is \( 150 + 120 = 270 \) ml. The volume of milk is \( 150 \) ml.