1. Ch 3.9 Objective: To solve problems involving percent.

2. Rules for Solving TRANSLATE each word into Math symbols! There are five types of Problems 1)Ratio Conversion 2)Percent of a number 3)Percent Change 4)Discount/Mark-up given Original Price 5)Discount/Mark-up given New Price

3. Ratio Conversions 6 out of 20 is what percent? = n 0.3 = n 100 30 = n % 1 100 (100)

4. What percent of 20 is 5 ? % 20=5 n = 5 n = 0.25 100 n = 25 n 1 100 (100) 20

5. 0.07 Percent of a Number 112% of 650 is what number? 1.12 650 =n 728 = n 7% of what number is 31.5? 0.07n=31.5 0.07n= 31.5 n = 450 0.07

6. Percent Change From $75 to $83

7. The tax on a $44 sweater was $3.63. Find the tax rate.

8. Discount/ Mark-up - New Price? $ 85 discounted 20% 85 - 0.20 (85) 85 - 17 $ 68 (1.00 - 0.20)(85) 0.80 (85) $ 68

9. Discount/ Mark-up - Original Price? After a 30% mark-up, a shirt was $33.80. What was the original price? Let x = original price x + 0.30x = 33.80 1.30x = 33.80 1.30 x = 26 $ 26.00