?
Explain how to convert a percentage to a decimal and provide an example.
By dividing the percentage by 100. EX: 4%= 4/100= 0.04
Problem 1: Bookstore Purchase
Sarah buys a novel and a notebook from a bookstore.
The novel costs $15.00.
The notebook costs $8.00.
The sales tax for both items is 7%.
Which expression can be used to find the total price of Sarah’s purchase?
a. 15(0.07) + 8
b. 15(1.07) + 8
c. (15 + 8)(0.07)
d. (15 + 8)(1.07)
d. (15 + 8)(1.07)
Problem 3:Honolulu Tourist Arrivals
The number of tourists arriving in Honolulu is recorded annually. In 2018, there were 10 million tourist arrivals.
From 2018 to 2019, tourist arrivals increased by 5%.
From 2019 to 2020, due to travel restrictions, tourist arrivals decreased by 60%.
How many tourist arrivals were there in Honolulu in 2020?
A. 4,200,000
B. 4,700,000
C. 4,940,000
D. 5,250,000
A. 4,200,000
Problem 4: Hawaiian Monk Seal Population
The population of Hawaiian Monk Seals is tracked annually by marine biologists. In 2015, the estimated population was 1,400 seals.
From 2015 to 2018, the population increased by 12%.
From 2018 to 2021, due to environmental factors, the population decreased by 16%.
What was the estimated population of Hawaiian Monk Seals in 2021?
A. 1,411
B. 1,317
C. 1,518
D. 1,590
1400 x .12=168
1400+168=1568
1568x0.16=250.88
1568-251=1317
B. 1,317
What is the formula for original price for discount/tax?
final price/ (1+ tax rate)x(1-discount rate)
A high-end camera lens was purchased during a special promotion. After a 30% discount and an 8.25% sales tax were applied, the final price was $583.71. What was the original price of the lens?
1.0825x 0.7= 0.76
583.71/0.76= 768.04
$768.04
If an item costs $50 and is on sale for 20% off, what is the discounted price before sales tax?
How much will your total be with the discount?
Discount Amount: 50 x 0.20= 10
Total: 50 - 10 = 40
A shirt costs $25, and the sales tax rate is 5%. What is the amount of sales tax you will pay?
How much will your total be including tax ?
Sales Tax: 25 x 0.05 = 1.25
Total Cost: 25 + 1.25 = 26.25
You went on a solo dinner and enjoyed a meal at a bistro. Their total bill, including a 7% sales tax and a 22% tip, was $39.69. What was the original cost of their meal before the tax and tip?
39.69/1.22=32.53
32.53/1.07=30.40
$30.40
What is the formula for original price for tip/tax?
Price Including Tax: Final Price/(1+ tip percentage)
Original Price: Price Including Tax / (1+ Sales Tax Percentage)
A blog's website traffic increases by 20% every year. In 2021 the blog had 5,000 visitors.
How many visitors will the blog have in 2022?
A= P (1 + rt)
A= 5000( 1 + (0.20 x 1)
A= 5000 (1.20)
A= 6000
A small tech company's revenue increases by 8% each year. In 2024 the company's revenue is $250,000.
What will the company's revenue be in 2025?
A= P(1+RT)
A= 250,000(1 + (0.08x1)
A= 250,000 (1 + 0.08)
A= 250,000 (1.08)
A= 270,000
River and Ryan went to McDonald's on the same day. River went to a McDonald's in Indiana where the sales tax is 5% and Ryan went to a McDonald's in Kentucky where the sales tax is 6%. Both boys' food cost $8.50. How much did each boy pay including sales tax?
River: $8.93 Ryan: $9.01
7.A community center offers classes for adults: art, dance, and yoga.
There are 20% more art class participants than dance class participants.
There are 15% fewer yoga class participants than dance class participants.
There are 85 yoga class participants.
How many art class participants are there?
Step 1:Find the Number of Dance Class Participants:
Step 2: Find the Number of Art Class Participants:
120 Art class participants
Sarah found a dress online that originally cost $120. The website was having a 30% off sale. After applying the discount, she had to pay an 8% sales tax on the discounted price. Once she received the dress, she was so happy with it that she wanted to give a 15% tip. So calculate the final price Sarah paid for the dress after the discount, sales tax, and tip.
$104.33
1. Calculate the Discount:
Discount amount: $120 * 0.30 = $36
Discounted price: $120 - $36 = $84
2. Calculate the Sales Tax:
Sales tax amount: $84 * 0.08 = $6.72
Final price (including tax): $84 + $6.72 = $90.72
3. Calculate the Tip:
Tip amount: $90.72 * 0.15 = $13.608. Because we are dealing with money, we will round this to $13.61.
Final Price: 90.72+13.61
Ms. Finlay went to Taco Luchador where her food cost $12.35. The sales tax is 6.5% and she left a 18.5% tip. How much did Ms. Finlay pay total?
12.35 x 0.065 = 0.80
12.35 + 0.80= 13.15
13.15 x 0.185= 2.43
13.15 + 2.43 = $15.58
8.A retail store sells three types of products: clothing, accessories, and shoes.
There are 25% more clothing items sold than accessory items.
There are 10% fewer shoe items sold than accessory items.
There are 135 shoe items sold.
How many clothing items were sold?
Step 1: Find the Number of Accessory Items Sold:
Step 2: Find the Number of Clothing Items Sold:
187.5 = 188 clothing items
Claire and Maddie went to Mellow Mushroom. The total bill including both of their meals was $37.80. They split the bill in half, so they each paid 50% of the total. Maddie left a 20% tip and Claire left a 15% tip. How much did they each pay?
Maddie: $22.68 Claire: $21.74
Jill is buying a new car for $10,000. If she pays half of that cost up front, she will get 20% off of that half of the price. If Jill takes the deal, how much will she pay up front?
5,000 x 0.2= 1000
5000 - 1000 = $4,000
Jordan's meal cost $14.65 and Stormie's meal cost $11.20. Stormie paid for both hers and Jordan's meal. The sales tax is 7% and she left a 17.5% tip. How much did Stormie pay total?
14.65 + 11.20 = 25.85
25.85 x 0.07= 1.81
25.85 + 1.81 = 27.66
27.66 x 0.175 =4.84
27.66 + 4.84= $32.50
An electronics store sells laptops with a regular price of $1,200. During a back-to-school sale, the price is reduced to $900.
Enter the percentage that the laptop price was marked down.
1200-900=300
(300/1200)x 100= 25%