Finding Percents, Parts and Wholes
14% of 120
What is 168?
Original: 98
New: 150
This is the percent change rounded to the nearest tenth.
What is 53.1% increase.
The difference is 52.
The original is 98.
52/98= 53.1%
Sophie buys two concert tickets from her friend. She pays $90 for the two tickets. She looks at the tickets and sees that each ticket has a face value of $52.50.
a) This is the amount of markdown that her friend gave Sophie.
b) This is the percent markdown, rounded to the nearest whole percent.
a) What is $15 markdown.
52.50 x 2 = $105
$105-90= $15
b) 14%
Averil and Ruby each opened a bank account with a deposit of $1000.
Averil earned 2.75% simple interest per year
Ruby earned 3.25% simple interest per year.
This is the amount more that Ruby received in interest compared to Averil after 4 years.
What is $20
Averil earned $110
Ruby earned $130
A statement that says two ratios are equivalent.
What is a proportion.
20 is 60% of this number
What is 33 1/3
Original: 68
New: 51
This is the percent change.
What is a 25% decrease?
17 is the difference.
68 was the original
17/68= 25%
A store purchased a snowboard for $215 and sold it to a customer for 45% more than the purchase price. The customer was charged an 8% tax when the snowboard was sold. This is the customer's total cost for the snowboard.
What is $336.69?
(215)(1.45)= Selling Price
311.75= Selling Price
(311.75)(0.08) =Tax
24.94 = Tax
Selling Price + Tax = Total Cost
311.75 + 24.94 = 336.69
Alexander paid $150 for a pair of shoes at an auction. He then sold them on a website for 35% more than he paid for them. He paid the website a fee of 28% of the difference between the auction price and website price. This is the websites fee.
What is $14.70
(150)(1.35) = 202.5
202.50-150 = 52.50
52.50 (0.28) = 14.70
Commission
What is the amount of money a salesperson, or real estate agent makes, based on how much they sell?
16 is this percent of 200
What is 8%
Carlos borrowed 830 pencils last year, This year he borrowed 714 pencils. This is the percent decrease in the number of pencils borrowed from last year to this year.
What is 14%?
When an item is marked up by a certain percent, then marked down by the same percent, is the sale price equal to the price before the markup and markdown?
No because the referent whole changes.
Each sales associate at a jewelry store has a choice of two salary options shown below:
- $140 per week plus 11.5% commission on the sales associate's total sales
- $575 per week with no commission.
The average total sales amount for each associate last year was $145,000. Based on this average, this is the difference between the two salary options.
(52 weeks = 1 year)
What is $5945.
Option 1:
(140*52) + (145000*0.115)= 23955
Option 2:
(575)(52)= 29900
29900-23955 =5945
The amount of money that is paid to a server, a percentage calculated from a restaurant bill.
What is gratuity, or tip?
A tank that is 40% full contains 648 gallons of water. This is the maximum capacity of the water tank.
What is 1620 gallons?
These are examples of 100% increase, 100% decrease, and 100% error.
Explain.
Sample answers:
increase: 10-->20
decrease: 10-->0
error: either of the above
Florie wants to buy new rollerskates for each of her 13 roller derby teammates.
Wacky Wheels is offering a 30% discount on each pair, which were originally priced at $74.80. A 7.5% sales tax will be applied to the discounted price.
Rockin' Rink is selling the same skates for $56.85 each pair. A 6% processing fee will be applied to the cost of the skates, plus a shipping fee of 6.99 for each pair.
This is the difference in the total costs of the 13 pairs of rollerskates between the two stores.
What is $142.53?
Wacky Wheels:
(74.80)(0.7)= 52.36
(52.36)(13)= 680.68
(680.68)(1.075)= 731.731
Rockin' Rink:
(56.85)(1.06)= 60.261
13(60.261 + 6.99) = 874.263
874.263-731.731= 142.53
A company manufactures coffee mugs. The list below describes the number of coffee mugs manufactured in three months.
- February: 3800 coffee mugs
- March: 9% more coffee mugs than February
- April: 675 more coffee mugs than March
This is the percent increase, to the nearest percent, in the number of coffee mugs the company manufactured from February to April
What is 27%
Feb: 3800
March: 4142
April: 4817
(4817-3800) /3800 = 0.2676..
Interest
What is the amount of money earned or paid on borrowed money, calculated as a percent of the borrowed amount over a specific period of time.
Phoebe's car can go 315 miles on one tank of gas. She used just under 40% of a full tank of gas to get to the beach, travelling at an average speed of 60 miles an hour.
This is about how long it took her to get there.
This is how you figured it out.
What is approximately 2 hours?
40% of 315 is 126 miles. Since she went less than that distance we can round down to 120 miles. If she is traveling 60mph, it would take about 2 hours to go 120 miles.
In the first week of August, there were 1060 people at an amusement park. In the second week there were 848 people. In the third week, there were 1,272 people. In the fourth week, only 318 people went to the amusement park.
What is the percent of change between each week in August?
What was the percent change from the first week to the last week?
Week 1-2: 20% decrease
Week 2-3: 50% increase
Week 3-4: 75% decrease.
Total Change: 70% decrease
A bookstore was having sale:
Buy 3 books get the 75% off the 4th book
Mishal wants to buy 4 books to donate to Ms Labovitch's library. Each book was originally priced at $18.95. The bookstore will discount the price of the 4th book, then apply an 8.875% tax to the total cost of the 4 books. Including tax, this will be the mean cost of each book.
What is 16.76
(18.95)(0.75)=Amount of Discount
14.2125 = Amount of Discount
18.95-14.2125 = new price
4.7375 = new price
3(18.95) + 4.7375 = cost of 4 books
61.5875 = cost of 4 books
61.5875 (1.08875)= Cost of books including tax
67.05339063 = Cost of books including tax
67.05339063/4 = mean cost of book
16.76334766= mean cost of book
Victoria paid $415 for a new kayak that she will sell in her show. She wants to price the kayak so that she can offer a 25% markdown, but still keep a markup of 15% of the price she paid for it. What should be the price of the kayak before the markdown?
What will be the price of the markup after the markdown?
If 7.5% tax is added, what will be the total cost to the customer that buys the kayak from Victoria?
The price of the kayak before the markdown should be $636.33
The price of the kayak after the markdown will be $477.25
The total cost of the kayak, including the tax will be: $513.04
Including tax
What means that the tax has been calculated into the price.
it's asking you to calculate the tax and add it to determine a final price, including tax.