
Applications of Ratio and Percent
Presentation
•
Mathematics
•
7th Grade
•
Hard
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.
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.
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 (%)?
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
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
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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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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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?
Find Part
then Add
Find Part
Then Keep
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?
Find Part, then Subtract
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?
Find Part, then ADD
Find Part, then Subtract
25
Multiple Choice
What is the total cost?
Original Price: $35.98
Discount: 15%
Tax: 6.5%
$57.48
$32.57
$27.48
$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'?
Calculate tax of 83.45,
Calculate tip of 83.45.
Add 83.45 plus tax amount, then add tip amount.
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'?
$106.09
$110.58
$97.04
$120.39
28
Multiple Choice
What is the total cost?
Original Price: $35.98
Discount: 15%
Tax: 6.5%
$57.48
$32.57
$27.48
$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?
Find Part, then Subtract
Find Part, then Keep
30
Multiple Choice
A notebook is sold at $1.50 then marked up 20%. What is the new price?
$1.88
$1.70
$2.10
$3.00
31
Multiple Choice
A TV that originally costs $325.50 is on sale (marked down) 15% off. What is the new price?
$276.68
$310.50
$48.83
$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?
$4.12
$6.60
$3.28
$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?
$9.00
$8.99
$20.99
$21.00
Percent Applications - Find Amount, then what?
Keep it, Add it, Subtract it -- it depends upon the Question.
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