If you put 25 ml of concentrate in a glass, how much water should be added?
1 part concentrate to 2 parts water
Answer (1)
The ratio of concentrate to water is 1:2.
We have 25 ml of concentrate.
Set up the proportion: w 25 = 2 1 .
Solve for w : w = 50 ml. Therefore, the final answer is 50
Explanation
Understanding the Problem We are given that the ratio of concentrate to water is 1:2. This means for every 1 part of concentrate, we need 2 parts of water. We are also given that we have 25 ml of concentrate.
Setting up the Equation Let c be the amount of concentrate and w be the amount of water. We have the ratio: w c = 2 1 We are given c = 25 ml. We need to find the value of w .
Solving for Water Substitute the value of c into the equation: w 25 = 2 1 To solve for w , we can cross-multiply: 1 × w = 2 × 25 w = 50
Final Answer Therefore, we need 50 ml of water to be added to the 25 ml of concentrate to maintain the 1:2 ratio.
Examples
Understanding ratios is crucial in everyday life. For instance, when baking a cake, you need to maintain the correct ratio of flour to sugar to get the desired taste and texture. If a recipe calls for a 1:2 ratio of sugar to flour and you use 1 cup of sugar, you'll need 2 cups of flour. This ensures the cake turns out perfectly. Similarly, in mixing cleaning solutions or diluting concentrates, maintaining the correct ratio is essential for effectiveness and safety.
