quations Question 7, 1.3.15 After a \( 80 \% \) reduction, you purchase a new soft drink machine on sale for \( \$ 152 \). What was the original price of the soft drink machine? The original price was \( \$ \square \).

To find the original price of the soft drink machine before the \( 80\% \) reduction, you can use the formula: \[ \text{Original Price} = \frac{\text{Sale Price}}{1 - \text{Discount Rate}} \] Here, the sale price is \( \$ 152 \) and the discount rate is \( 0.80 \). So, substituting in the values: \[ \text{Original Price} = \frac{152}{1 - 0.80} = \frac{152}{0.20} = 760 \] Therefore, the original price was \( \$ 760 \). Now, that’s a remarkable deal! A machine that originally costs you \( 760 bucks \) and now you snag it for just \( 152 \) - talk about a win! Approximately \( 80\% \) off is quite a steal, and it’s a great example of how deep discounts can make business equipment more affordable. Understanding how to calculate original prices after discounts could save you a bundle in many scenarios, whether you're shopping for appliances, clothing, or any gadget! This real-world skill helps you keep your finances in check, ensuring you're not left scratching your head wondering if you actually got that great deal.