# Percents and Proportions. Setup of a Percent Proportion Is = part Of = whole.

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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?