Let's express the solution as a fraction.

### Recap of the Final Equation
We had the equation:
\[
88x = 800
\]
So, solving for \( x \):
\[
x = \frac{800}{88} = \frac{400}{44} = \frac{200}{22} = \frac{100}{11}
\]

### Conclusion
Gary needs to add \(\frac{100}{11}\) ml of extra orange juice to the jug to make the drink 12% orange juice.

Would you like any further details, or do you have any questions?

Here are five related questions:
1. How would the fraction change if Gary wanted 15% orange juice instead?
2. How can you simplify fractions effectively when solving such problems?
3. What if Gary’s initial drink had 8% orange juice instead of 10%?
4. How does the fraction change if the total volume of the drink was 500 ml instead of 400 ml?
5. Can you find an equivalent fraction for \(\frac{100}{11}\) in decimal form?

**Tip:** When simplifying fractions, always check for the greatest common divisor (GCD) to ensure the fraction is in its simplest form.

Learn how to solve equations involving fractions by adding extra orange juice to achieve a desired concentration. This problem involves finding the right amount of orange juice to add to a drink to reach 12% orange juice content. Suitable for students in Grades 6-8.

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