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In a mixture of milk and water, there is...

In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in milliitres) of mixture ?

A

2300

B

2200

C

2350

D

2400

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these instructions: ### Step 1: Understand the relationship between milk and the total mixture. In the mixture, milk constitutes 19% of the total quantity. This means that if we denote the total quantity of the mixture as \( T \), then: \[ \text{Milk} = 19\% \text{ of } T \] ### Step 2: Set up the equation with the given information. We know that the quantity of milk is 437 milliliters. Therefore, we can express this relationship mathematically as: \[ 437 = 0.19 \times T \] ### Step 3: Solve for the total quantity \( T \). To find \( T \), we can rearrange the equation: \[ T = \frac{437}{0.19} \] ### Step 4: Calculate the total quantity. Now, we will perform the division: \[ T = \frac{437 \times 100}{19} \] Calculating this gives: \[ T = \frac{43700}{19} = 2300 \text{ milliliters} \] ### Final Answer: The total quantity of the mixture is **2300 milliliters**. ---
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