Percent Proportion: Day 2

​Using the Percent Proportion to solve percent problems

• SWBAT correctly set up their percent proportion

• SWBAT solve percent problems involving sales tax, discounts, tips, markups...

​Goals

7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error

​Standard

​Standard and Goals

We can use our percent proportion to solve for: discounts, sales tax, markups, percent of change, tip...​

​

​Modified Percent Proportion

​

​Part (is): What part are we looking for or what part did they give us?

Whole (of): What was the whole amount that we started with or what is the whole amount that we are looking for?

p(%): what is the percent in the problem or what percent are we looking for?

Multiple Select

Which of the following represents the TWO correct percent proportions

• $$\frac{whole}{part\ }=\frac{\%}{100}$$

• $$\frac{part}{whole}=\ \frac{\%}{100}$$

• $$\frac{is}{of}=\frac{\%}{100}$$

• $$\frac{of}{is\ }=\frac{\%}{100}$$

Multiple Select

Last week I made a batch of cookies. The recipe makes 30 cookies. I ate 25% of them. How many cookies did I eat?

Select the correct way to set up this equation:

• $$\frac{30}{whole}=\frac{25}{100}$$

• $$\frac{part}{30}=\frac{25}{100}$$

​Let's set up the proportion

​What is 215% of 44?

​Part (is)	​p (%)
​Whole (of)	​100

​Let's set up the proportion

​What percent of 40 is 200?

​Part (is)	​p (%)
​Whole (of)	​100

​Let's set up the proportion

​25 is 40% of what number?

​Part (is)	​p (%)
​Whole (of)	​100

​Vocabulary

• tip:  a sum of money customarily given by a client or customer to workers for the service they have performed, in addition to the basic price of the service.

• commission: A fee paid for services, usually a percentage of the total cost; a fee paid to an employee for transacting a piece of business or performing a service.

• sales tax: a tax paid to a governing body for the sales of certain goods and services.​

• simple interest: is interest calculated on the original price of a loan or the original contribution to a savings account.​

Multiple Select

Which term(s) involve adding back to the original amount? Select all that apply

• sales tax

• discount

• tip

• simple interest

Multiple Choice

Jennifer has a coupon for 25% off her entire meal of $17.89. What is the discount?

• $13.42
• $4.47
• $4.48
• $0.44

Multiple Choice

What percent of 32 is 10?

• 0.32%
• 32%
• 0.3125%
• 31.25%

Multiple Choice

You are charged a 6% sales tax in Michigan. If you purchase a new bicycle and pay $27 in sales tax, what is the original price of the bicycle before tax? To word it another way, $27 in sales tax is 6% of what original price?

• $22.22

• $450

• $1.62

• $259

Multiple Choice

You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assignments have you completed?

• $$50\%$$

• $$20\%$$

• $$45\%$$

• $$62\%$$

Multiple Choice

Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. Which proportion is correct?

Multiple Choice

25 is 5% of what number?

• 250

• 500

• 750

• 1000