A store advertises that all sports equipment is 30% off the retail price. In addition, the store asks customers to select and pop a balloon to receive a coupon for an additional n percent off the already marked down price of one of their purchases. Write an expression that represents the cost of a pair of inline skates with a retail price p after receiving both discounts.
didn't I just answer this?
To find the cost of a pair of inline skates with a retail price p after receiving both discounts, we need to subtract the discount amounts from the original retail price.
First, let's calculate the discount amount for the initial 30% off. This can be found by multiplying the retail price p by 30% (or 0.3):
Discount 1 = 0.3 * p
The discounted price after the first discount would be the retail price minus the first discount amount:
Price after Discount 1 = p - Discount 1
Next, let's calculate the discount amount for the additional n percent off. This can be found by multiplying the price after Discount 1 by n% (or n/100):
Discount 2 = (n/100) * (p - Discount 1)
The final price after both discounts would be the price after Discount 1 minus the second discount amount:
Final Price = Price after Discount 1 - Discount 2
Therefore, the expression that represents the cost of a pair of inline skates with a retail price p after receiving both discounts is:
Final Price = (p - (0.3 * p)) - ((n/100) * (p - (0.3 * p)))
To find the cost of a pair of inline skates, let's break it down step by step.
Step 1: Applying the first discount
The first discount is 30% off the retail price. To find the price after this discount, you need to subtract 30% of the retail price (p) from the retail price itself. This can be calculated as: p - (0.3 * p), which simplifies to 0.7p.
Step 2: Applying the second discount
To find the final price after both discounts, we need to consider the additional discount received by popping a balloon. This discount is represented by n percent. To calculate the amount of this discount, we need to find n% of the price obtained after the first discount. This is calculated as: (0.7p) - (0.01n * (0.7p)), which simplifies to 0.7p - (0.007p * n).
Therefore, the expression representing the cost of a pair of inline skates after both discounts is: 0.7p - (0.007p * n).