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

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`

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=(30)/(0.64)\\\\x=46.875`