Name:________________________________________________________________________________Date:_____/_____/__________ 4)The ratio of pencils to pens is 9 : 5. If there are 23 pencils, approximately how many pens are there? 5)For every 3 ducks, there are 8 geese at the pond. If there are 24 geese at the pond, how many TOTAL ducks and geese are there? Remember: Cross-multiply first, then DIVIDE by coefficient! QUIZ DAY!

Solve the following “scale” problems using a proportion: 6)The scale on a map is inches = 15 miles If two towns are 6 in apart on map, what is their actual distance? 7)1 cm on the blueprint represents 12 ft in real life. If the living room is 15 ft in real life, what is its blueprint measurement?

Today’s Lesson: What: Percentage applications Why: To solve several different types of percentage problems, including consumer applications, using the percent proportion formula. What: Percentage applications Why: To solve several different types of percentage problems, including consumer applications, using the percent proportion formula.

% part “is” 100 whole “of” = We can use the above formula to solve ANY type of percentage problem. WHY??? Because, using this formula allows us to find the missing percentage, find the missing part, or find the missing _________________________. We place ____________ in the correct position, according to what we need to find. The Percent proportion formula... whole x (variable)

Solving for the percent... Solving for the part... Solving for the whole... % part “is” 100 whole “of” =

% part “is” 100 whole “of” = Real-Life Scenarios: 1) Collin scored an 88% on the test. If there were 40 total questions, how many did Collin answer correctly? x ≈ 35 questions

% part “is” 100 whole “of” = 2)Jane scored a 94% on the test. If she answered 47 questions correctly, how many total questions were on the test? x = 50 questions

% part “is” 100 whole “of” = 3)On the Unit 8 Test, Holly got 40 questions correct out of 45 total questions. What was her percentage score? x ≈ 89%

Consumer applications... purchases add subtract add part

Store Scenarios: 1) The sub-total (original price) of your purchase is $ There is a 30% discount. What is the sale price? Tip: Add Discount: Subtract Tax: Add $38.15 % part “is” 100 whole “of” = Step 1: Find the discount using the % proportion. Step 2: Subtract the discount! Sale price means price AFTER the discount, so this is a TWO-STEP problem. 1,635 = 100x 100 x = $16.35 Step 1: Step 2: Subtract discount from original amount! $ $16.35 = $38.15

2) The sub-total (original price) of your purchase is $ There is a 5% sales tax. What is the tax only? % part “is” 100 whole “of” = Tip: Add Discount: Subtract Tax: Add This is asking for tax only, so it just a ONE-STEP problem! $4.91

3) The sub-total (original price) of your purchase is $ The sales tax is 5%. What is your total? Tip: Add Discount: Subtract Tax: Add $78.54 % part “is” 100 whole “of” = This is asking for the TOTAL, so it is a 2-step problem!

Restaurant scenarios: 1)Your bill at a restaurant is $ You want to leave a 15% tip. How much is the tip? Tip: Add Discount: Subtract Tax: Add $3.90 % part “is” 100 whole “of” = This is asking for the TIP only, so it is a ONE-STEP problem!

Tip: Add Discount: Subtract Tax: Add 5) Your bill at a restaurant is $ You want to leave an 18% tip. How much is the total bill? $51.92 This is asking for the TOTAL, so it is a TWO-STEP problem! % part “is” 100 whole “of” =

END OF LESSON The next slides are student copies of the notes and handouts for this lesson. These were handed out in class and filled-in as the lesson progressed.

Math-7 NOTES DATE: ______/_______/_______ What: percentage applications Why: To solve several different types of percentage problems, including consumer applications, using the percent proportion formula. What: percentage applications Why: To solve several different types of percentage problems, including consumer applications, using the percent proportion formula. NAME: % part “is” 100 whole “of” = The Percent proportion formula... Solving for the percent... Solving for the part... Solving for the whole...

% part “is” 100 whole “of” = Real-Life Scenarios: 1)Collin scored an 88% on the test. If there were 40 total questions, how many did Collin answer correctly? 2)Jane scored a 94% on the test. If she answered 47 questions correctly, how many total questions were on the test? 3)On the Unit 8 Test, Holly got 40 questions correct out of 45 total questions. What was her percentage score? Consumer applications...

% part “is” 100 whole “of” = Store and Restaurant Scenarios: 1)The sub-total (original price) of your purchase is $ There is a 30% discount. What is the sale price? Tip: Add Discount: Subtract Tax: Add 2) The subtotal (original price) of your purchase is $ There is a 5% sales tax. What is the tax only? (Hint: one-step problem...) 3)The sub-total (original price) of your purchase is $ The sales tax is 5%. What is your total? (Hint: two-step problem...) 4)Your bill at a restaurant is $ You want to leave a 15% tip. How much is the tip? (Hint: one-step problem...) 5)Your bill at a restaurant is $ You want to leave an 18% tip. How much is the total bill (after the tip)? (Hint: two-step problem...)

Use the Percent Proportion Formula to answer the following (some do not work out evenly– round to the nearest tenth unless otherwise specified) : DATE: ______/_______/_______NAME:____________________________________________________________________________ 1) Bridget scored a 95% on the test. If there were 40 questions, how many did she answer correctly? 2) Zack scored a 92% on the test. If he answered 23 questions correctly, how many total questions were on the test? 3) Linda got 33 questions correct out of 40 total questions on the test. What is her percentage score (round to the nearest whole percent)? 4) Nate had $50 in his piggy bank. He took $22 out in order to buy some headphones. What percent of his original total did he take out? 5)Sandy withdrew 34% of her savings. If she withdrew $120, how much was in her savings to begin with?

“consumer applications” Read the situations below, identify what type of consumer math (tax, tip, discount) and tell whether the final price would increase (you would add) or the price would decrease (you would subtract): SituationType of problemIncrease or Decrease? 1. Leigh just got her haircut and styled. She paid the price, and then paid her stylist an additional 20%. 2. Hector purchased a new video game at Target for 20% off the original price. 3.Ms. Yorty purchased new pencils for all her students. She was charged an additional 4.5% on top of the price of the pencils. Solve: 4.The original price of a jacket is $ What is the total cost of the jacket if it is on sale for 30% off? 5.James and his family went out to dinner. Their bill was $ If they gave a 20% tip, what was their total? 6.The sub-total at Target is $ If there is a 6% sales tax, how much is the tax only? 7.Your family goes out to dinner, and the bill is $ You offer to leave the tip. If you leave 15%, how much did you leave?