The original price of purse discounted 35%

Question

THe customer buys the item at this discounted price using $25 off coupon. there is no tax on the item. if the customer paid $4.50 less than half the original price of the item. what was the original price?

Answer 1

Let X be the original price  and  let A be the amount that the customer paid.

 

We know that:

 

(original price) -( $25 dollars discount) = (price that the customer paid) OR

X-25=A

 

We also know that 

 

(the customer paid $4.50 less that half of the original price.)

 

Since we know that A is what the customer paid the equation gives us

 

A= (1/2)X - $4.50

 

all that is left is to substitute A into our first equation and solve for X which will give us X

 

X-25 = (1/2)X-4.50

(1/2)X=25-4.50 ( subtracted (1/2)x to both side and added 25 dollars to both sides)

(1/2)X=20.50   

X=41                 (multiplied by two to both sides in order to solve for X)

Therefore, the total price of the original item is $41 dollars! Hope this helps!