To find the regular price of the computer, given that it is on sale for [tex]$1600 at a 20% discount, we need to follow these steps:
1. Understand the discount in decimal form:
- A 20% discount can be converted to a decimal by dividing 20 by 100:
\[
\text{Discount Percentage (as a decimal)} = \frac{20}{100} = 0.20
\]
2. Determine the sale price as a percentage of the regular price:
- The sale price represents the portion of the regular price left after the discount is applied. If a 20% discount is given, the sale price is 100% - 20% = 80% of the regular price.
- As a decimal, 80% is:
\[
0.80
\]
3. Set up the equation:
- Let \( P \) represent the regular price.
- The sale price is equivalent to 80% of the regular price:
\[
\text{Sale Price} = 0.80 \times P
\]
4. Plug in the given sale price:
- The given sale price is $[/tex]1600. Substitute this value into the equation:
[tex]\[
1600 = 0.80 \times P
\][/tex]
5. Solve for the regular price [tex]\( P \)[/tex]:
- To isolate [tex]\( P \)[/tex], divide both sides of the equation by 0.80:
[tex]\[
P = \frac{1600}{0.80}
\][/tex]
6. Simplify the division to find [tex]\( P \)[/tex]:
- Perform the division:
[tex]\[
P = 2000
\][/tex]
Thus, the regular price of the computer is $2000.
