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We can solve this problem by interpreting the given information:

- Betty receives an 80% discount on the original price of the furnace.
- She pays $172 for the furnace, which is the discounted price.
  
Since the discount is 80%, Betty pays 20% of the original price. Let’s denote the original price by $ P $. The equation we can set up is:

\[
0.2 \times P = 172
\]

To find the original price $ P $, we solve for $ P $:

\[
P = \frac{172}{0.2} = 860
\]

Therefore, the original price of the furnace was **$860**.

Would you like any further details or have any questions?

Here are five related questions to explore further:
1. If the discount had been 75% instead, how much would Betty have paid?
2. What would the price have been if the furnace was originally $900, with the same 80% discount?
3. How much would Betty have saved in dollars with a 90% discount instead?
4. If the final price was $215 with a 75% discount, what was the original price?
5. What is the percentage discount if Betty paid $100 and the original price was $500?

**Tip:** To solve percentage problems, always convert percentages to decimals by dividing by 100.

During the sale, Betty pays $172 for a furnace. What was the original price?

Discover how to calculate the original price of a furnace that Betty bought for $172 after an 80% discount. This percentage-based problem provides step-by-step guidance on how to reverse the discount to determine the original price, suitable for students in Grades 5-7.

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