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The question in the image asks for the original price of a soft drink machine, which is now on sale for $231 after a 65% reduction. Let's work through the steps to find the original price.

### Let the original price be denoted by $ P $.
1. A 65% reduction means you are paying 35% of the original price (since $ 100\% - 65\% = 35\% $).
2. This can be written as:
   \[
   0.35 \times P = 231
   \]
3. Solving for $ P $:
   \[
   P = \frac{231}{0.35}
   \]
   \[
   P = 660
   \]

So, the original price of the soft drink machine was **$660**.

Would you like more details on this solution or have any questions?

### Related Questions:
1. If the discount was 50% instead of 65%, what would the original price be?
2. How would the original price change if the sale price were $300 after a 65% reduction?
3. What would the original price be if the discount were 75% and the sale price was $231?
4. How much would the soft drink machine cost if only a 20% discount were applied to the original price?
5. How do you find the sale price if the original price and discount percentage are known?

### Tip:
When solving for percentages, always express the remaining amount (after reduction) as a decimal fraction (e.g., 35% as 0.35) and multiply it by the original value for the sale price calculation.

After a 65% reduction, you purchase a new soft drink machine on sale for $231. What was the original price of the soft drink machine?

Learn how to find the original price of a soft drink machine that was purchased on sale for $231 after a 65% reduction. This problem involves basic percentage calculations and algebraic manipulation. Suitable for students in Grades 8-10.

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