A sound system was sold during a sale for
$
349.73
$
349.73
. What is the regular selling price if the price of the sound system was reduced by
2
/
5
2
/
5
.
$

To find the regular selling price of the sound system, we can follow these steps:

1. The sale price is given as $349.73.
2. The price was reduced by $ \frac{2}{5} $ (or 40% of the regular price).
   
The remaining fraction of the price (after the discount) is:
\[
1 - \frac{2}{5} = \frac{3}{5}
\]

This means the sale price represents 60% or $ \frac{3}{5} $ of the regular price.

Let the regular price be $ x $. We can set up the equation:
\[
\frac{3}{5} \times x = 349.73
\]

Now, solve for $ x $:
\[
x = \frac{349.73 \times 5}{3}
\]

Let's calculate that.

\[
x = \frac{349.73 \times 5}{3} = \frac{1748.65}{3} = 582.88
\]

So, the regular selling price of the sound system is **$582.88**.

Would you like more details or have any questions?

Here are some related questions to further your understanding:
1. How would the regular price change if the discount was $ \frac{1}{3} $ instead of $ \frac{2}{5} $?
2. If the sale price was reduced by $100 instead of $ \frac{2}{5} $, how would you find the regular price?
3. How do percentages relate to fractions in discount calculations?
4. What if the regular price had been reduced by $ \frac{1}{4} $ instead of $ \frac{2}{5} $, how would you solve it?
5. How does this calculation change if a tax is applied to the sale price?

**Tip**: Always express percentage reductions as fractions or decimals to simplify equations.

A sound system was sold during a sale for $349.73. What is the regular selling price if the price of the sound system was reduced by 2/5?

Learn how to find the regular selling price of a sound system sold for $349.73 with a 2/5 price reduction. This algebra problem involves understanding percentage reductions and proportional relationships, suitable for students in Grades 6-8.

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