Question

a bottle of hand lotion is on sale for $2.25 . If this price represents a 50% discount from the original price , what is the original price to the nearest cent ?

Answer 1

so 2.25 is 50% of the original price
let's write original price as x
50% of x = 2.25
0.5 * x = 2.25
divide both sides by 0.5
x = 4.5

The original price is 4.5

To check:
50% * (4.5) =?= 2.25
0.5 * 4.5 =?= 2.25
2.25 = 2.25

Hope this helps.

Answer 2

Answer:

$4.50

Step-by-step explanation:

Since there is a  50 %  discount on the price, the new price is  100 %  −  50 %  =  50 %  of the original price.

Let the original price be  x . Then we have:

x  ⋅  50 %  =  $ 2.25

x  ⋅  1 2 =  $ 2.25

x  =  $  2.25  ⋅  2   =  

$ 4.50

So, the bottle of hand lotion's original price was $ 4.50 .