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Chapter 3: Problem 5

The sale price, \(S\), of an item is the difference between the regular price, \(P\), and the discount, \(D\). a. Write a formula for \(S\). b. If a video game is discounted \(\$ 8\) and sells for \(\$ 35,\) use the formula in part a to determine the regular price.

Short Answer

Expert verified
Solution: Using the formula S = P - D, where S is the sale price, P is the regular price, and D is the discount, we can plug in the given values: 35 = P - 8. Solving for P, we get P = 43. Therefore, the regular price of the video game is $43.

Step by step solution

01

Write the formula for sale price (S)

According to the problem, the sale price (S) is the difference between the regular price (P) and the discount (D). So, the formula would be: S = P - D
02

Find the regular price (P) of the video game

We are given the following information: Sale price (S) = $35; Discount (D) = $8. Now, plug the given values into the formula from Step 1: 35 = P - 8
03

Solve for the regular price (P) of the video game

To find the regular price (P), we need to isolate P. Add 8 to both sides of the equation: 35 + 8 = P
04

Calculate and write the answer

Now, add the numbers: 43 = P So, the regular price (P) of the video game is $43.

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