To make homemade window cleaner Beth combines water and white vinegar in the ratio of 8 : 1, by volume. How many millilitres of water should she add to make 765 mL of cleaner?

To determine how many milliliters of water Beth should add to make 765 mL of cleaner with a water to vinegar ratio of 8:1, we can follow these steps:

1. **Understand the Ratio**:
   The ratio of water to vinegar is 8:1. This means for every 8 parts of water, there is 1 part of vinegar.

2. **Define the Total Parts**:
   The total parts of the mixture is \(8 + 1 = 9\) parts.

3. **Determine the Volume per Part**:
   Since the total volume of the cleaner is 765 mL, each part of the mixture is:
   \[
   \text{Volume per part} = \frac{\text{Total volume}}{\text{Total parts}} = \frac{765 \text{ mL}}{9} = 85 \text{ mL}
   \]

4. **Calculate the Volume of Water**:
   Since there are 8 parts of water, the volume of water needed is:
   \[
   \text{Volume of water} = 8 \times 85 \text{ mL} = 680 \text{ mL}
   \]

Therefore, Beth should add \(680\) milliliters of water to make 765 mL of cleaner.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How many milliliters of vinegar does Beth need to add?
2. What is the percentage concentration of vinegar in the final solution?
3. If Beth wants to make 1 liter of cleaner, how much water and vinegar will she need?
4. What would be the new ratio if Beth decides to add 100 mL more water to the 765 mL of cleaner?
5. How much cleaner can Beth make if she only has 500 mL of vinegar available?

**Tip:** When working with ratios, it's often helpful to break the total quantity into parts based on the ratio, then calculate the amount for each part accordingly.

Learn how to calculate the amount of water needed to make 765 mL of window cleaner with an 8:1 water to vinegar ratio. This step-by-step solution demonstrates the use of ratios and basic arithmetic, suitable for students in Grades 5-7.

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