A tennis racket is marked up 50% to $36.75 what is the original price?
1.5x = 36.75
x = 24.50
To determine the original price of the tennis racket, we need to reverse the 50% markup to find the initial price before the increase.
Step 1: Calculate the markup amount
The markup amount is 50% of the original price. Let's represent the original price as "X."
Markup amount = 50% * X = 0.50 * X = 0.5X
Step 2: Calculate the final price after the markup
The final price after the 50% increase is $36.75.
Step 3: Set up the equation to find the original price
The final price (after the markup) is equal to the original price plus the markup amount.
Final price = Original price + Markup amount
$36.75 = X + 0.5X
Step 4: Solve the equation for X (original price)
Combine like terms on the right side of the equation:
$36.75 = 1.5X
Divide both sides of the equation by 1.5 to isolate X:
X = $36.75 / 1.5
X ≈ $24.50
Therefore, the original price of the tennis racket was approximately $24.50.