Astoremanager increasesthepriceofa $60pairofshoes by 20%.Afterafewweeks, because of falling sales, the manager reduces the price of the shoes by 20%.

1. What is the new sale price for the shoes? Be sure to show your work.
2. Why are the shoes not back to $60?
3. Bywhatpercentshouldtheshoesbedecreasedinordertohavetheprice back at$60? Be sure to show your work.

Sales for a farm company increasedby30%in2009andfellby20% in 2010. The business owner believes that over the 2-year period, sales increased by 10%.

1. Is the business owner correct that 30% - 20% would mean a 10% increase in sales? Why or why not?
2. Bywhatpercent didsales actuallychangeinthe2-yearperiod? Explain your thinking.
3. By what percent would sales have to decrease in the second year for sales to actually be a 10% increase? Be sure to show your work.

Astore isofferinga30%discountonallitemspurchased.Thecashier offers an additional 20% off for opening a store credit card.

1. Suppose you opened a store credit card and were eligible for both discounts. If your purchase totaled $450, how much would you pay? Be sure to show your work.
2. Are both discounts equivalent to 50% off? If not, what percent are both discounts equivalent to?
3. Assuming you were eligible for both discounts, would it be better to apply the 30% discount first or the 20% discount first? Explain your thinking.