Solving Percent Problems 9.3 Solving Percent Problems How do you use percents to solve problems?

Texas Essential Knowledge and Skills The student is expected to: Proportionality—6.5.B Solve real-world problems involving percent to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models. Proportionality—6.4.G Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money. Mathematical Processes 6.1.A Apply mathematics to problems arising in everyday life, society, and the workplace.

ADDITIONAL EXAMPLE 1 A Use proportional reasoning to find 46% of 50. Show how you set up the proportion. B Multiply by a fraction to find 75% of 120. 90 C Multiply by a decimal to find 3% of 1,200. 36

ADDITIONAL EXAMPLE 2 The budget for a café includes $3,000 for new kitchen equipment. The chef spent $90 of that money for new aprons. What percent of the money for new kitchen equipment was spent on aprons? 3%

ADDITIONAL EXAMPLE 3 At a cat show, 60% of the cats had long hair. There were 168 cats with long hair in the show. How many cats were in the show? 280 cats

9.3 LESSON QUIZ Find the percent of each number. 1. 17% of 200 books 2. 35% of 80 letters 28 letters 3. 459 sales 85% of 540 sales

Use proportional reasoning to complete each sentence Use proportional reasoning to complete each sentence. Show how you set up the proportion. 4. 12% of ___ shirts is 36 shirts. 300; 5. 104 tests is ___% of 160 tests. 65%; 6. 275; 16% of ___ cookies is 44 cookies. Use any method to solve. 7. Nicholas has a collection of books. He has 115 fantasy and sciencefiction books. These books are 46% of his collection. How many books does he have in his collection? 250 Books

The sales tax rate in Texas has increased over time The sales tax rate in Texas has increased over time. Have students choose two items, one costing less than $10 and one costing more than $1,000, and have them use a calculator to find the amount of sales tax for the item during each time period. Note: Local areas impose additional local sales tax, so sales tax rates vary by locale.

Sample answers are shown in the table.

How do you use percents to solve problems? Sample answer: You can solve percent problems by writing a proportion and solving for the unknown quantity.