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Percents and Proportions
Setup of a Percent Proportion Is = part Of = whole
Example In Arkansas, the state sales tax is 4.5%. You want to buy a $195 bicycle in Arkansas. How much is the tax?
Example In Arkansas, the state sales tax is 4.5%. You want to buy a $195 bicycle in Arkansas. How much is the tax? $8.78
Example Suppose 11,550 elementary students make up 14% of a city’s population. What is the population of the city?
Example Suppose 11,550 elementary students make up 14% of a city’s population. What is the population of the city? 82,500
Example Write a proportion to solve each problem. C) Find 12.5% of 90 D) Find 5.75% of 1000
Example Write a proportion to solve each problem. A) Find 25% of 120 B) Find 85% of 150
Your Turn A) 10 is 25% of what number? B) 36 is 75% of what number?
Practice Problem What percent of 60 is 15? What are we looking for? What is the base? What is the part? How do we set up the proportion? percent 60, remember “of” 15, remember “is”
Solve Step 1: Cross multiply 15 x 100 = 60 x p Step 2. Simplify 1500 = 60p Step 3. Solve for p 1500/60 = p 15 is 25% of 60 P= 25%
Your turn What percent of 25 is 30? Remember: Identify base, part What is the unknown How do we set it up?
Your turn answer 120%
Practice problems 1) What number is 40% of 80? 2) 75 is 20% of what number? 3) What percent is 45 of 60? Remember: identify what you know, what you are solving for, set up proportion and solve.
Practice problems answers 32 375 75%
7-8 Solving Percents Problems I CAN use a proportion to solve problems involving percents. I CAN use an equation to solve problems involving percents.
Changing Percents to a Fraction #3 To change a percent to a fraction you need to first write the numerator over 100. Next simplify the fraction.
Writing and Solving a Proportion EXAMPLE 3 STEP 1 Write a proportion. Let x represent the number of floors passed in 9 seconds. Empire State Building The.
1 Percent Proportion. 2 Percent Means ‘of a hundred’
Finding a Percent of a Number Lesson 6-7. Using a Proportion Set up a proportion that uses the percent over 100. Cross multiply to write an equation.
Solving Equations Containing Percents. Percent Proportion Method Part = % Whole 100 Example: What is 25% of 20? x = 25 You are trying to find a.
Base: The number that represents the whole or 100%.
Fractions, Percents & Decimals
Solving Percent Problems Using Proportions
Lesson 1-1 Example Example 1 Karen bought a dress that cost $32. She paid 7% in sales tax. How much did she pay in tax? 1.Write the percent proportion.
Chapter 23 Review Adv. Math. Find the % of the number. 75% of 120.
5 Minute Check Complete on the back of your homework. 1. Best Buy is having a 30% off sale. You want to buy an ipod that is marked $160. How much are you.
Practicing With Percents By Johnny, Sally, Mary & Joey Period 3.
Solving Percent Problems Section 6.5. Objectives Solve percent problems using the formula Solve percent problems using a proportion.
Splash Screen. Over Lesson 7–2 5-Minute Check 1 Over Lesson 7–2 5-Minute Check 2.
Fraction to Decimal and Percent. Fraction to Decimal 2. Divide 1 2 EX 1) = 1. Make denominator a power of 10. OR X X 5 10 ?5 5 Put numerator behind decimal.
Percentages By Harris, Draven, And Gaige. What is a percentage and how do I find it? A percentage is a fraction of a whole number. To find the percentage.
Find a Percentage of a Number SWBAT use the percent formula to find a percentage of a number; use a percent proportion to find a percentage of a number.
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