Percent of Change
Taxes
Discounts
Tips/Markups
Abstract Reasoning
100
8 feet to 10 feet
25%
100
$72.95 jacket; 4% tax
$75.87
100
$60 shoe; 15% discount
$51.00
100
$62 dinner; 20% tip
$74.40
100
Can a percent of change be greater than 100%? Explain.
Yes. If the increase or decrease amount is more than the original amount, the percent of change will be greater than 100%
200
136 days to 85 days
37.5%
200
Irina purchases $87.00 worth of clothing in the local department store. The sales tax in her city is 6 1/2% What is the total cost of the clothing?
$92.66
200
The original price of a snowblower is $950. A sign states that all snowblowers are 20% off the original price. Find the sale price of the snowblower.
$760.00
200
$25 jeans; 16% markup
$29.00
200
True or False (and explain why):
When the percent of change is a decrease, the original amount will be greater than the new amount.
True. A decrease is a lesser amount so the original amount has to be lower.
300
The price of a monthly plan increased from $36 to $45. What is the percent of change?
25%
300
Ryan wants to buy a sweatshirt that costs $42.99. The sales tax rate in his city is 7 1/2% . Find the total cost of the sweatshirt to the nearest cent.
$46.21
300
A soccer shop is having a holiday sale. All jerseys are 45% off the original price of $79. An early-bird special gives an additional 15% off the sale price. What is the final price of a jersey if all the discounts are applied? Round to the nearest cent if necessary.
$36.93
300
The wholesale cost of a snowboard is $149.75. The markup for the snowboard is 42%. Find the selling cost of the snowboard. Round to the nearest cent.
$212.65
300
Find the error.
A student is finding the total cost, c, including sales tax, of a book that costs $9.95. The sales tax rate is 9%. Find the student's mistake and correct it.
c = 0.9 xx 9.95
c = 8.955 + 9.95
c = $18.91
The student wrote the percent incorrectly. The percent should be 9% written as .09
400
A music video website received 5,000 comments on a new song they released. The next day, the artist performed the song on TV and an additional 1,500 comments were made. What was the percent of change?
30% INCREASE
400
The cost of renting a hotel room with an ocean view is $275 per night and there is a hotel tax of 14%. The Smith family is planning to rent the hotel room for 3 nights. What will be the total cost for the Smith family to rent the hotel room?
$940.50
400
A softball bat and glove are on sale for $89.95. If the sale price is discounted 10% from the original price, what was the original price? Round to the nearest cent.
$99.94
400
A local pool shop sells an 18-foot diameter swimming pool for $2,143.75. The wholesale cost of the pool is $1,225.00. What is the percent of markup?
75%
400
Karson takes his dog to be groomed. The fee to groom the dog is $70 plus a 10% tip. Is $80 enough to pay for the service and the tip? Explain your reasoning.
Yes, the total is $77 which is less than $80.
500
In 2015, the number of candid photos in the yearbook was 236. In 2016, the number of candid photos in the yearbook was 214. What was the percent of change in the number of candid student pictures from 2015 to 2016 rounded to the nearest TENTH?
9.3% DECREASE
500
David goes shopping at a local grocery store and purchases the following items:
In the city where he lives, there is a 7.3% sales tax on all items, EXCEPT food. How much money does David spend at the grocery store? Round to the nearest cent if necessary.
$23.29
500
Academy and Finish Line are having sales. At Academy, a pair of shoes are on sale for 40% off the regular price of $50. At Finish Line, the same pair of shoes are discounted 30% off the regular price of $40. If the sales tax rate is 6%, which store has the better sale price? How much will you SAVE by buying the shoes there?
The shoes are cheaper at Finish Line by $2.12
500
Mary bought a broken antique table at a garage sale for $30. She plans to repair and paint it before reselling it. Her supplies cost $45 plus a 6.25% sales tax. She takes the amount that she spent on the table and supplies, and marks up the price by 120%. How much should she charge for the table?
$171.19
500
Write two different equations to find the total cost of an item that costs $15 if the sales tax is 6%. Explain why the expressions give the same result.
1.06 xx 15 = 15.90
(.06 xx 15) + 15 = 15.90