Download presentation

Presentation is loading. Please wait.

Published byCora Bishop Modified over 2 years ago

1
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

2
Warm Up Solve. 1. 4x = 90 2. 8x = 96 3. 12x = 180 4. 26x = 182 22.5 12 15 7

3
**Rearrange the digits in . What **

Problem of the Day Rearrange the digits in What fraction of the possible arrangements are true proportions? 2 6 1 3 = 1 3

4
**Sunshine State Standards**

MA.7.A.1.2 Solve percent problems, including problems involving discounts…[and] taxes…

5
Sloths may seem lazy, but their extremely slow movement helps to make them almost invisible to predators. Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day hours is, you can use a proportion or an equation.

6
**Proportion Method Equation Method**

Part n 16.5 Part = What percent of 24 is 16.5? Whole 100 24 Whole n · 24 = 100 · 16.5 n · 24 = 16.5 24n = 1,650 n = n = 68.75 n = 68.75% Sloths spend about 69% of the day sleeping!

7
**Additional Example 1A: Using Proportions to Solve Problems with Percents**

What percent of 40 is 25? n 100 = 25 40 Write a proportion. n · 40 = 100 · 25 Set the cross products equal. 40n = 2,500 Multiply. 40n 40 = 2,500 40 Divide each side by 40 to isolate the variable. n = 62.5 25 is 62.5% of 40.

8
**Additional Example 1B: Using Proportions to Solve Problems with Percents**

15 is 25% of what number? 25 100 = 15 n Write a proportion. n · 25 = 100 · 15 Set the cross products equal. 25n = 1,500 Multiply. 25n 25 = 1,500 25 Divide each side by 25 to isolate the variable. n = 60 15 is 25% of 60.

9
Check It Out: Example 1A Solve. What percent of 50 is 10? n 100 = 10 50 Write a proportion. n · 50 = 100 · 10 Set the cross products equal. 50n = 1,000 Multiply. 50n 50 = 1,000 50 Divide each side by 50 to isolate the variable. n = 20 10 is 20% of 50.

10
Check It Out: Example 1B Solve. 8 is 40% of what number? 40 100 = 8 n Write a proportion. n · 40 = 100 · 8 Set the cross products equal. 40n = 800 Multiply. 40n 40 = 800 40 Divide each side by 40 to isolate the variable. n = 20 8 is 40% of 20.

11
**Additional Example 2A: Using Equations to Solve Problems with Percents**

35 is 28% of what number? 35 = 28% · n Write an equation. 35 = 0.28 · n Write 28% as a decimal. 35 0.28 0.28 · n 0.28 Divide each side by 0.28 to isolate the variable. = 125 = n 35 is 28% of 125.

12
**Additional Example 2B: Using Equations to Solve Problems with Percents**

What percent of 9 is 18? 18 = n · 9 Write an equation. 18 9 n · 9 9 Divide each side by 9 to isolate the variable. = 2 = n Write the decimal as a percent. 200% = n 18 is 200% of 9.

13
Check It Out: Example 2A Solve. 36 is 24% of what number? 36 = 24% · n Write an equation. 36 = 0.24 · n Write 24% as a decimal. 36 0.24 = 0.24 · n Divide each side by 0.24 to isolate the variable. 150 = n 36 is 24% of 150.

14
Check It Out: Example 2B Solve. What percent of 6 is 36? 36 = n · 6 Write an equation. 36 6 n · 6 6 Divide each side by 6 to isolate the variable. = 6 = n Write the decimal as a percent. 600% = n 36 is 600% of 6.

15
**Additional Example 3: Consumer Application**

Raoul found a pair of shoes that were marked down to 80% of the original price. He had a coupon that gave him an additional $10 off the shoes. The sales tax rate was 6.5% and Raoul paid $5.46 in sales tax. What was the original price of the pair of shoes? Work backward. Find the final price of the shoes. 6.5% of price is $5.46. Write a word sentence. 0.065 x = 5.46 Write an equation. Divide both sides by x = 84 The price of the shoes with the coupon was $84.

16
**Additional Example 3 Continued**

Find the price of the shoes without the coupon. = 94 The price of the shoes was $94 after it was marked down to 80% of the original price. Find the original price. 80% of price is $94. Write a word sentence. 0.8 x = 94 Write an equation. Divide both sides by 0.8. x = 117.5 The original price of the shoes was $

17
Check It Out: Example 3 Livy found a comforter marked down to 50% of the original price. She had a coupon that gave her an additional $10 off her purchase. The sales tax rate was 8.25% and Livy paid $6.19 in sales tax. What was the original price of the comforter? Work backward. Find the final price of the comforter. 8.25% of price is $6.19. Write a word sentence. x = 6.19 Write an equation. Divide both sides by x = 75.03 The price of the comforter with the coupon was $75.03.

18
**Check It Out: Example 3 Continued**

Find the price of the comforter without the coupon. = 85.03 The price of the comforter was $85.03 after it was marked down to 50% of the original price. Find the original price. 50% of price is $85.03. Write a word sentence. 0.5 x = 85.03 Write an equation. Divide both sides by 0.5. x = The original price of the comforter was $

19
**Additional Example 4: Finding Sales Tax**

A portable DVD player costs $225 before tax at an appliance warehouse. What is the sales tax rate if the tax is $18? Restate the question: What percent of $225 is $18? n 100 18 225 = Write a proportion. n · 225 = 100 · 18 Set the cross products equal. 225n = 1800 Multiply. 225n 225 1800 225 = Divide each side by 225. n = 8 8% of $225 is $18. The sales tax is 8%.

20
Check It Out: Example 4 A new flat screen TV costs $800 before tax at an appliance warehouse. What is the sales tax rate if the tax is $56? Restate the question: What percent of $800 is $56? n 100 56 800 = Write a proportion. n · 800 = 100 · 56 Set the cross products equal. 800n = 5600 Multiply. 800n 800 5600 800 = Divide each side by 800. n = 7 7% of $800 is $56. The sales tax is 7%.

21
Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

22
Lesson Quiz Solve. 1. 21 is 42% of what number? 2. What percent of 292 is 73? 3. 112% of what number is 84? 4. What percent of 1,340 is 13.4? 5. An ad features a bicycle on sale for $139. If the total cost of the bike is $147.34, what is the sales tax rate? 50 25% 75 1% 6%

23
**Lesson Quiz for Student Response Systems**

1. Solve. 19 is 38% of what number? A. 69 B. 50 C. 38 D. 34

24
**Lesson Quiz for Student Response Systems**

2. What percent of 170 is 51? A. 25% B. 30% C. 40% D. 50%

25
**Lesson Quiz for Student Response Systems**

3. 128% of what number is 96? A. 25 B. 50 C. 75 D. 96

26
**Lesson Quiz for Student Response Systems**

4. What percent of 1,520 is 15.2? A. 25% B. 15% C. 10% D. 1%

27
**Lesson Quiz for Student Response Systems**

5. A jeweler has a pendant on sale for $150. If the total cost of the pendant is $160.50, what is the sales tax rate? A. 6% B. 7% C. 8% D. 9%

Similar presentations

OK

6-4 Percent of a Number Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

6-4 Percent of a Number Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on polynomials in maths what does product Ppt on drug abuse in india Ppt on revolution of the earth and seasons diagram Ppt on models of business communication Ppt on leverages means Ppt on information technology project management Ppt on bluetooth controlled robots Volumetric display ppt on tv Ppt on information communication technology Ppt on rational numbers for class 8 free download