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Applications of Ratio and Percent

Applications of Ratio and Percent

Assessment

Presentation

Mathematics

7th Grade

Hard

Created by

Joseph Anderson

FREE Resource

21 Slides • 12 Questions

1

Percent Applications - Find Amount, then what?

Keep it, Add it, Subtract it -- it depends upon the Question.

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2

Percent Applications

  • Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, and fees

  • Markdowns - shopping

  • Markups - pricing

  • Tax - most purchases

  • Gratuities (Tips) - for good service

3

Shopping

"on sale" discounts reduce the price paid.

"tax" calculated using subtotal increasing total amount paid.

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4

Receipt details

  • Where did the customer shop?

  • What was purchased?

  • How much was 1 cup?

  • What is the discount rate?

  • How much was the discount/savings?

  • What was the price before tax?

  • What was the tax rate (%)?

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5

Interpreting Receipts

  • The yellow star shows the discount RATE as a percent, 25%

  • The blue lightening bolt shows the discount AMOUNT, ($32.50)

  • This discount AMOUNT was calculated by changing percent to decimal and then multiplying 130(.25) = $32.50

  • The subtotal $97.50 is the sales price. 130 - 32.50 = 97.50

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6

Interpreting Receipts

  • The purple circle shows where the sales tax was entered.

  • The Sales Tax AMOUNT is $7.80

  • The Sales Tax rate (%) is not listed, but may be computed.

  • Tax RATE 7.80/97.50 = 0.08 or 8%

  • The tax AMOUNT of $7.80 was added to the Subtotal of $97.50

  • 7.80 + 97.50 = 105.30

  • Total amount paid was $105.30

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7

Percentages are applied to an original or starting amount to find a partial value.

  • The equation: Whole x Percent = Part

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9

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12

For Multi-step Math Problems

Equation Method recommended to find Part

13

Real life percent problems - markdowns, markups, tax, gratuities (tips), fees and commission may be multi-step problems

A defined structure may serve to keep your work organized.

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21

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22

Multiple Select

To solve the following math problem, choose 2 strategies that work.


A notebook is sold at $1.50 then marked up 20%. What is the new price?

1

Find Part

then Add

2
3

Find Part

Then Keep

4

Find Part

Then Subtract

23

Multiple Choice

What is the process used to solve the following math problem?


A TV that originally costs $325.50 is on sale (marked down) 15% off. What is the new price?

1

Find Part, then Subtract

2

Find Part, then Keep

24

Multiple Choice

Chips cost $3.85 and have a sales tax of 7.13%. What is the total cost of the chips?

1

Find Part, then ADD

2

Find Part, then Subtract

25

Multiple Choice

What is the total cost?

Original Price: $35.98

Discount: 15%

Tax: 6.5%

1

$57.48

2

$32.57

3

$27.48

4

$43.71

26

Multiple Choice

What steps would work best for solving this math story?


The Jones family went out to dinner. Their bill was $83.45. There was a sales tax of 4.125% and they wanted to tip 23%. What was the total amount spent by the Jones'?

1

Calculate tax of 83.45,

Calculate tip of 83.45.

Add 83.45 plus tax amount, then add tip amount.

2

Calculate tax of 83.45,

Calculate tip of 83.45.

Subtract tip amount, then add tax amount

27

Multiple Choice

The Jones family went out to dinner. Their bill was $83.45. There was a sales tax of 4.125% and they wanted to tip 23%. What was the total amount spent by the Jones'?

1

$106.09

2

$110.58

3

$97.04

4

$120.39

28

Multiple Choice

What is the total cost?

Original Price: $35.98

Discount: 15%

Tax: 6.5%

1

$57.48

2

$32.57

3

$27.48

4

$43.71

29

Multiple Choice

A sweater that originally costs $29.99 was put on sale (marked down) for 70% off. What is the discount amount?

1

Find Part, then Subtract

2

Find Part, then Keep

30

Multiple Choice

A notebook is sold at $1.50 then marked up 20%. What is the new price?

1

$1.88

2

$1.70

3

$2.10

4

$3.00

31

Multiple Choice

A TV that originally costs $325.50 is on sale (marked down) 15% off. What is the new price?

1

$276.68

2

$310.50

3

$48.83

4

$374.33

32

Multiple Choice

Chips cost $3.85 and have a sales tax of 7.13%. What is the total cost of the chips?

1

$4.12

2

$6.60

3

$3.28

4

$4.37

33

Multiple Choice

A sweater that originally costs $29.99 was put on sale (marked down) for 70% off. What is the new price?

1

$9.00

2

$8.99

3

$20.99

4

$21.00

Percent Applications - Find Amount, then what?

Keep it, Add it, Subtract it -- it depends upon the Question.

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