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...​

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​Modified Percent Proportion

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​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

Fill in the Blank

The Kerwoods went out to eat at AppleBees. If the bill was $58.65 and they gave the server a 15% tip, how much did they pay altogether?

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