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# M2D1 FOR MATH GURU

Last season, a pair of jeans cost $42.95. 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.

- First, guess. What do you think the sale price will be? Why?
- Then, calculate:
- How much did the jeans cost at the beginning of this season?
- What was their sale price?

- Did you get the sale price you were expecting? Why or why not?

Consider what the jeans would cost if they had gone on sale by 25% first, and then had their price increased by 25%.

- First guess. What do you think the jeans will cost this time? Why?
- Then, calculate: How much will the jeans cost this time?
- Did you get the answer you were expecting? Why or why not?

Discuss the differences between (1) and (2). What did you learn or observe about the mathematics involved, as a result of your guesses and calculations?

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.