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Percentages

Percentages. 8/21/2017. General strategy. Understand the problem. read and reread the problem Choose a variable to represent the unknown Construct a drawing Translate the problem into an equation Solve the equation Interpret the results. Example 1. The number 63 is what percent of 72?.

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Percentages

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  1. Percentages 8/21/2017

  2. General strategy • Understand the problem. • read and reread the problem • Choose a variable to represent the unknown • Construct a drawing • Translate the problem into an equation • Solve the equation • Interpret the results

  3. Example 1 • The number 63 is what percent of 72? • The number 120 is 15% of what number

  4. Example 2 Discounts • Cell Phones Unlimited recently reduced the price of the $140 phone by 20%. What is the discount and the new price of the phone? • A new treadmill was purchased for $480 and later sold at a garage sale at a discount of 85%. What is the discount and the new price of the treadmill?

  5. Example 3 • The tuition and fees of attending a four year college rose from $4020 in 1996 to $7610 in 2011. Find the percent of increase. • The tuition and fees cost of attending a two year college rose from $1900 in 1996 to $2710 in 2011. Find the percent of increase.

  6. Bell Ringer 8/22/2017 • The number 74 is what percent of 117

  7. Example 4 • Find last year’s salary if, after a 4% raise, this year’s salary is $44,200. • A gasoline station decreased the price of a $0.95 soda by 15%. What is the new price of the soda?

  8. Due today • The number 45 is what percent of 180 • The number 126 is 35% of what number • A used automobile dealership recently reduced the price of a used car by 8%. If the price of the car before was $18,500, what was the discount and the new price? • A birthday celebration meal is $40.50 including tax. Find the total cost if a 15% tip is added to the given cost.

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