Question

Dave's Candy Store is having a 15
% off sale on gourmet candy. Jamal paid $37.40
for a gourmet candy basket that was on sale. What was the original price of the candy basket?
$5.61
$44.00
$31.79
$54.00

Answer 1

To find the original price of the candy basket before the 15% off sale, we can use the formula for calculating the sale price:

\[
\text{Sale Price} = \text{Original Price} - (\text{Original Price} \times \text{Discount Rate})
\]

Given that the discount rate is 15% (or 0.15), we can express the sale price in terms of the original price:

\[
\text{Sale Price} = \text{Original Price} \times (1 - 0.15) = \text{Original Price} \times 0.85
\]

We know that the sale price is $37.40. Therefore, we can set up the equation:

\[
37.40 = \text{Original Price} \times 0.85
\]

To find the original price, we can rearrange the equation:

\[
\text{Original Price} = \frac{37.40}{0.85}
\]

Now, we calculate:

\[
\text{Original Price} = \frac{37.40}{0.85} \approx 44.00
\]

Thus, the original price of the candy basket was **$44.00**.