Question

An item was marked down 64% from its original price, x. The amount discounted was $30. Which equation can be used to find the original price?

Answer 1

Let x be the original price. The discount on this item is 64% of x, that means:

discount = x(0.64) = $30, x = 30/0.64 = original price x =  $46.875:

Write an equation:

NET PRICE = Original price - discount (on the original price) 

NET PRICE = x - 0.64.x or NET PRICE = x(1-0.64)

NET PRICE =0.36.x 

Answer 2

Answer:

The equation which can be used to find the original price of the item is:

     $0.64x=30$

Also the original price of the item is:

       $x=\ \ 46.875$

Step-by-step explanation:

It is given that:

An item was marked down 64% from its original price, x.

This means that the discount on the item will be:

= 64% of x

= 0.64 x

Also, The amount discounted was $30.

This means that:

$0.64x=30$

On dividing both the sides of the equation by 0.64 we get:

$x=\dfrac{30}{0.64}\\\\x=46.875$