Solve the following problem and post your solutions
1 Last season, a pair of jeans cost $35.95. This season, the price of the jeans increased by 25 percent. Later in the season, the jeans were put on sale for 25 percent off.
? How much did the jeans cost at the beginning of the season?
? What was their sale price?
? Were you surprised by the sale price of the jeans? Why or why not?
2 What would the jeans cost if they had gone on sale by 25% first, and then had their price increased by 25%? Why?
Be sure to answer all parts of the question above. It is possible that you will not be successful at answering all parts of the question at this point, and that is okay. Describe what you were able to solve and what questions you have remaining.
The next problem is:
The list price of an iPod speaker is $67.50. It is on sale for 20% off, and there is a 6% sales tax. The store calculates the sales tax on the $67.50, and then takes 20% off the total. Jonathan wants them to take the discount first and then calculate the tax, reasoning that the tax will then be calculated based on the lower price and he will pay less.
1 Is Jonathan correct? How much will he pay each way?
2 How do these results compare with the problem you solved in the discussion activity?
To get full credit for this write-up, you should:
1 Answer all parts of the problem.
2 Show your justification for every step in your solution. Use clear, mathematically accurate language.
3 Label all numbers with the units they represent (e.g., 0.3048 ft/meter).
4 Clearly state your conclusions using complete English sentences (for example, "Jill needs to add 43 gallons of water to her pool").
You may use ideas from the discussion board, but you are expected to write your solution using your own words to explain your reasoning. The report should be no more than 3 pages. Ideally, your solution will be typed in MS Word