Respuesta :

Answer:

  • [tex]Sales\:\:Price=List\:\:Price-Discount[/tex]
  • Sales price= $[tex]1167.25[/tex] List price=L Discount[tex]=19.5\%\:of\:L=0.195L[/tex]
  • [tex]1167.25=L-0.195L[/tex]

Step-by-step explanation:

The percentage discount is [tex]19.5\%[/tex]

The discount is always given on the list price.

[tex]Sales\:\:Price=List\:\:Price-Discount[/tex]

Let the list price be L, then

List price=L

Sales price= $[tex]1167.25[/tex]

Discount[tex]=19.5\%\:of\:L=0.195L[/tex]

We substitute into the equation to get:

[tex]1167.25=L-0.195L[/tex]

[tex]1167.25=0.805L[/tex]

Divide both sides by 0.805

[tex]\frac{1167.25}{0.805}=L[/tex]

[tex]1450=L[/tex]

The list price of the swimming pool is $1450