A pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the pan?

Question

(32 dollars) (100 percent minus 15 percent) = (32 dollars) (85 percent) = 27 dollars and 20 cents
(32 dollars) (15 percent) = 4 dollars and 80 cents
(32 dollars) (15 percent) + 32 dollars = 4 dollars and 80 cents + 32 dollars = 36 dollars and 80 cents
(32 dollars) (185 percent) = 59 dollars and 20 cents

Answer 1

To find the new price of the pan after a 15 percent markdown, we can start with the original price and calculate the discount.

1. Find the discount amount: \[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} \] \[ \text{Discount} = 32 \times 0.15 = 4.80 \]

2. Calculate the new price: \[ \text{New Price} = \text{Original Price} - \text{Discount} \] \[ \text{New Price} = 32 - 4.80 = 27.20 \]

Now, using equations, we can express the new price as: \[ \text{New Price} = \text{Original Price} \times (1 - \text{Discount Rate}) \] This can be written as: \[ \text{New Price} = 32 \times (1 - 0.15) = 32 \times 0.85 = 27.20 \]

Among the provided options, the first equation correctly shows the calculation: \[ (32 \text{ dollars}) \times (100% - 15%) = (32 \text{ dollars}) \times (85%) = 27 \text{ dollars and } 20 \text{ cents} \]

So, the correct response is:

\[ (32 \text{ dollars}) \times (100 \text{ percent} - 15 \text{ percent}) = (32 \text{ dollars}) \times (85 \text{ percent}) = 27 \text{ dollars and } 20 \text{ cents} \]