Problem Solving with Proportional Relationships

Slides:

Advertisements

Similar presentations

EXAMPLE 1 Finding a Sale Price You are shopping for a guitar and find one with an original price of $160. The store is offering a 30% discount on all guitars.

Advertisements

Two Step Equation Percentages Adding and Subtracting Adding -- Tax, Markup –Original amount + a percent of that amount –An item is marked up 75%

Ratios * Of means to multiply Using percents  To calculate sales tax of an item, simply multiply the cost of the item by the tax rate.  Example: You.

7 th Grade Math Ms. Richardson.  Before, we answered all types of percent questions using proportions.  However, when you are finding the percent of.

Warm Up 1. 14,000 is 2 % of what number? is 13% of what number? % of what number is 12? % of what number is 189? 560,

Notes Over is what percent of 140?

Finding a percent of a number Textbook pages

DISCOUNTS, SALES TAX, TIPS DISCOUNTS Example: Regular Price = $10 Discount = 20% Step 1 Change the percentage to a decimal Step 2 Multiply the Regular.

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.

EXAMPLE 1 Finding a Sale Price You are shopping for a guitar and find one with an original price of $160. The store is offering a 30% discount on all guitars.

Estimating With Percents Lesson 6-8. Sales Tax Round the cost of a given item to the nearest dollar. Multiply that estimate by the decimal version of.

Discounts, Sales Tax and Tip. What would the sale price be for a pair of pants that cost $48.00 after a 30% discount is given? Step 1: change the % into.

Ratio, Percent, Proportion

Learn to solve problems involving percent of change.

Warm Up Solve % of what number is 6? 2. What percent of 20 is 8? 3. What is 80% of 60? is what percent of 200? 60 40% 48 Course Percent.

Using Percents to Solve Problems

Sales Tax, Tip and Commission

Why??  Percents are all around us! Sales and discounts shopping Sales Tax Income Taxes Tips on restaurant bills Etc…  When doing problems with % remember.

Warm ups: Eric bought a pair of shoes originally priced at $95 for 45% off. He paid $52.25 not including tax. Which equation shows how Eric.

Finding a percent of a number Textbook January 13 th 14 th, 15 th, 16th.

Markups and Discounts: Chapter 7.6 Goals: To find the NEW PRICE after a markup. To find a NEW PRICE after a discount.

Lesson 6-8 Warm-Up. Lesson 6-8 Warm-Up Markup and Discount (6-8) What is “markup”? How do you find the percent of markup ? markup (also known as profit):

Then/Now You have already solved real-world problems using the percent proportions. (Lesson 7–3) Solve real-world problems involving markup and discount.

DO NOW Define: Markup: An increase from the wholesale price of an item to the retail price. Discount: A decrease from the original price of an item to.

Mrs. Matej. Is the amount by which the ________ ________ of an item is ________ The discounted price of an item is always ______ than the regular price.

Reminder : animation video sales tax. Show at end of lesson.

Percents A percent is a ratio that compares a number to 100.

APPLICATIONS OF PERCENT Chapter 6. Fractions, Decimals, & Percents A percent is a ratio that compares a number to 100 To change a decimal to a percent,

Topic 2 Proportional Reasoning with Percents Percent of a Number To find the percent of a number, you can: write the percent as a fraction and.

ALGEBRA READINESS LESSON 7-5 Warm Up Lesson 7-5 Warm-Up.

Using Proportions to Solve Percent Problems MCC7.RP.3: Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest,

Reminder : animation video sales tax. Show at end of lesson.

Bell Work Explain why Jamar’s solution was incorrect.

Percent Proportions & Equations. A percent is a ratio that compares a number to 100. A commission is a percent of the amount of your sales. A percent.

EXAMPLE 1 Finding a Sale Price Clothing You buy a pair of jeans that is 30% off the original price of $29. What is the sale price? STEP 1 Find the amount.

Warm Up Solve % of what number is 6? 2. What percent of 20 is 8? 3. What is 80% of 60? is what percent of 200? 60 40% 48 Course Percent.

Estimating With Percents Lesson 6-8. Sales Tax Round the cost of a given item to the nearest dollar. Multiply that estimate by the decimal version of.

Transparency 8 Click the mouse button or press the Space Bar to display the answers.

RED 2012 BOOK. 4.3 Activity You can find 10% and multiply by the correct amount.  Ex: 40% off of $50.00  10% is $5.00.  $5.00 X 4 (for 40%) = $20.00.

Transparency 7 Click the mouse button or press the Space Bar to display the answers.

Finding a Percent of a Number

Applications of Percents

Percent Math 6.

Finding a Percent of a Number

Markup and Discount Notes

EXAMPLE 1 Finding a Sale Price

Discount, sale price, tax, Tip

Using Percents 7-10 Warm Up Problem of the Day Lesson Presentation

Lesson 7.6: Markup and Discount

Ratios and Percents RP. 3..

Finding a Percent of a Number

Markup and Discount Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips. Objective:-Students.

Math 5-7: Percent of Change

Percent Math 6.

Main Idea and New Vocabulary Example 1: Find the Sale Price

Lesson 7.1 How do you write ratios and find unit rates?

BUSINESS MATHEMATICS & STATISTICS.

Finding a Percent of a Number

Finding a Percent of a Number

2.5 – Percents in Business Textbook pg. 137 Objective:

Estimating With Percents

Objective: Students will be able to solve problems involving discounts and sales tax. VOCABULARY: A discount is the difference between the original price.

Finding Discount Objective: Students will calculate percentages and find the amount of discount.

Percent Grade 6.

Consumer Applications Review

Goal: The learner will multiply to find a percent of a number.

Solving Percent Problems

Bell work Week 28 Cost - The price retailers pay to a manufacturer

Proportional Relationships

Sales Tax, Tips, Discounts

Presentation transcript:

Problem Solving with Proportional Relationships Lesson 12: Percents

Vocabulary

Vocabulary Discount: a percent subtracted from the cost of an item to reduce the final price. Sale Price: the price of an item after the discount is subtracted. Markdown: a percent subtracted from the cost of an item to determine the sale price.

Video https://www.youtube.com/watch?v=NHDiqrWcZFU

Percent Proportion

Discount Bar Model In the bar model, the original price is equal to the sale price plus the discount. To find the sale price, subtract the discount from the original price.

Discount Example

Discount Equation 100% - % Discount Change % to decimal Multiply by the original price to find the sale (discounted) price. EX: 15% off of $29.89 100-15=85% 0.85 0.85 x 29.89= $25.41 Sale Price Sale Price= Original price - (% of discount x original price)

Discount Proportion % Discount = Amount of Discount 100 Original Price

Tax/Tip/Commission/Markup Bar Model In the bar model, the total price is equal to the original price plus the tax/tip/commission/markup. To find the original price, subtract the markup from the total price.

Tax/Tip/Commission/Markup Examples

Tax/Tip/Commission/Markup Equation Change % to decimal Multiply by the original price to find the total price (including tax/tip/commission/interest/markup. EX: 18% tip for $34.99 dinner bill 100 + 18=118% 1.18 1.18 x 34.99= $41.29 Total with Tip Total Price= Original price + (% of markup x original price)

Markup Proportion % Markup = Amount of Markup 100 Original Price

Simple Interest Bar Model In the bar model, the total amount to pay back is equal to the amount borrowed plus the interest. To find the amount borrowed, subtract the interest from the total amount to pay back.

Simple Interest Example

Simple Interest Equation

Practice Textbook pg. 108-11 Workbook pg. 115-120