The problem I'm stuck on goes like this:

Jessica has a coupon for $75 off an iPad. When she arrives at the Black Friday sale, she sees the store is offering a 55% discount. She can't use both discounts.

A) Write the equation that gives the discounted price when Jessica only uses the coupon.

B)Write the equation that gives the discounted price when Jessica only uses the percent discount.

C)For what original price of the iPad does Jessica pay the same amount with each discount?

---For part A I got DiscountedPrice=OriginalPrice-$75 and for part B I got DiscountedPrice=Original Price*0.55

I'm not sure how to solve for part C.

How can you solve if all i have are discounts?

p-75 is ok

But, a 55% discount means you only pay 45%, or p*.45

For C, just set them equal, as asked:

p-75 = .45p
.55p = 75
p = $136.36

To solve part C, we need to find the original price of the iPad at which Jessica pays the same amount with each discount.

Let's assume the original price of the iPad is x dollars.

A) When Jessica only uses the coupon, the discounted price is given by: DiscountedPrice = x - $75

B) When Jessica only uses the percent discount, the discounted price is given by: DiscountedPrice = x * 0.55

Since Jessica pays the same amount with each discount, we can set the two equations equal to each other and solve for x:

x - $75 = x * 0.55

To solve this equation, let's simplify it step by step:

x - $75 = 0.55x (Distributing the 0.55 to x)

x - 0.55x = $75 (Subtracting 0.55x from both sides)

0.45x = $75 (Combining like terms)

x = $75 / 0.45 (Dividing both sides by 0.45)

x = $166.67

Therefore, at an original price of $166.67, Jessica pays the same amount with each discount.