A store is having a 20% off sale on all merchandise.if jada buys one item and saves $13 at the sale what was the original price of her purchase?explaine

original price --- $x

after reduced price ---- 89% of x = .8x

.8x = 13

solve for x by dividing both sides by .8

To find the original price of Jada's purchase, we can use the information given about the 20% off sale. Let's call the original price X.

If there is a 20% discount, this means Jada pays only 80% of the original price after the discount. So, we can calculate it using the equation: 80% of X = X - $13.

To solve this equation, we can convert 80% to a decimal by dividing it by 100.

80% ÷ 100 = 0.8

Now, we can rewrite the equation as: 0.8X = X - $13.

Next, we'll isolate X on one side of the equation by subtracting X from both sides: 0.8X - X = - $13.

Combining like terms, we get: -0.2X = - $13.

To solve for X, we can divide both sides of the equation by -0.2: X = (- $13) ÷ (-0.2).

Dividing $13 by 0.2 gives us $65.

Therefore, the original price of Jada's purchase was $65.