JeopardyLabs

What's the Price?

100

Free Points!!

YESSSS!!

200

Prime: $4.89

Tax: 5.5%

What is the final cost? Round to the nearest cent.

$5.16

300

Laffy Taffy: $2.95

Tax: 5%

What is the final cost? Round to the nearest cent.

$3.10

400

Hunter wanted a new X-box with a price of $248.90 and tax is 7%. What is the final price for the X-box? Round to the nearest cent if necessary. 

$266.32

500

Hunter wanted to purchase a new hockey stick which costs $598.95 and 10% sales tax will be added. What is the final cost that Hunter will need to purchase it? Round to the nearest cent. 

$658.85

Two-steppers

100

Travel team fee: $875.55

Discount: 10%

Tax: 3%

Find the total (round answer to the nearest cent)

$811.63

200

Hockey Uniform: $185

Discount: 40%

Tax 8%

What is the price? Round to the nearest cent. 

$119.88

300

Nike Dunks: $428.99

Discount: 20%

Tax: 6%

Find the price. Round to the nearest cent. 

$363.78

400

Snackstand purchase at tournament: $14.18

Tax: 4.5%

Tip: 20%

Find the price. Round to the nearest cent. 

$17.78

500

Store A sells a skateboard for $145.00 and is offering a discount of 15% off. 

Store B sells the same skateboard for $160.00 and is offering a discount of 10% off. 

From which store should Hunter purchase the skateboard? What is the price difference between store A and Store B? 

Hunter should purchase the skateboard from Store A, as it is cheaper. The price difference between the two stores is $20.75 ($144.00 - $123.25).Store A:

• Discount: $145.00 * 0.15 = $21.75
• Price after discount: $145.00 - $21.75 = $123.25

Store B:

• Discount: $160.00 * 0.10 = $16.00
• Price after discount: $160.00 - $16.00 = $144.00

Comparison:

• Store A offers the skateboard for $123.25.
• Store B offers the skateboard for $144.00.

Percents and Proportions

100

What number is 22% of 280?

61.6

To find 22% of 280, you can follow these steps:

1. Convert the percentage to a decimal:  Divide the percentage by 100.  22 / 100 = 0.22

2. Multiply the decimal by the number: 0.22 * 280 = 61.6

Therefore, 22% of 280 is 61.6.

200

What percent is 123 of 164?

75%

To find what percent 123 is of 164, you can follow these steps:

1. Divide the part by the whole: 123 / 164 = 0.75 (approximately)

2. Multiply the result by 100: 0.75 * 100 = 75

Therefore, 123 is 75% of 164.

300

Hockey pucks are on sale: buy four, get one free. This is the same as getting what percent discount?

20%

Here's how to figure out the percentage discount:

1. Consider the total cost: You buy 4 pucks and get 1 free, meaning you get 5 pucks in total.

2. Calculate the cost you don't pay for:  The free puck represents the amount you save.

3. Express the savings as a fraction: You save 1 puck out of 5 total pucks, which is 1/5.

4. Convert the fraction to a percentage: (1/5) * 100% = 20%

Therefore, buying four pucks and getting one free is the same as getting a 20% discount.

400

Hunter bought lunch for $8.40 and he now has 88% of the cash left in his wallet. How much money did Hunter start with?

$70.00

Here's how to solve this problem:

1. Determine the percentage of money spent: If Hunter has 88% left, he spent 100% - 88% = 12% of his money.

2. Set up a proportion: Let 'x' be the initial amount of money Hunter had. We can set up the proportion:

   12/100 = $8.40 / x

3. Solve for x: Cross-multiply and solve:

   12x = 840 x = 840 / 12 x = 70

Therefore, Hunter started with $70.

500

Jenny has 20% more money than Nicole, who has 20% less than Sue. If Jenny has $57.60, how much does Sue have? (hint: correct answer is a whole dollar amount)

Sue has $60.00

Here's how to solve this problem:

1. Find how much Nicole has:

• Jenny has 20% more than Nicole, meaning Jenny's amount is 120% of Nicole's amount.
• To find Nicole's amount, divide Jenny's amount by 1.20 (which is 120% expressed as a decimal): $57.60 / 1.20 = $48

2. Find how much Sue has:

• Nicole has 20% less than Sue, meaning Nicole's amount is 80% of Sue's amount.
• To find Sue's amount, divide Nicole's amount by 0.80 (which is 80% expressed as a decimal): $48 / 0.80 = $60

Therefore, Sue has $60.

Write a proportion and solve it!

100

Write a proportion and solve it. Be sure to show all the steps for solving a proportion. Round answer to nearest tenth. 

What number is 70% of 45?

31.5

Here's how to solve this problem using a proportion:

1. Set up the proportion:

   We can set up a proportion relating the percentage to the part and the whole.  Let 'x' be the unknown number (the "part").  The proportion is:

   part / whole = percent / 100
   x / 45 = 70 / 100

2. Cross-multiply:

   Multiply the numerator of the first fraction by the denominator of the second fraction, and vice-versa:

   100 * x = 70 * 45
   100x = 3150

3. Solve for x:

   Divide both sides of the equation by 100 to isolate 'x':

   x = 3150 / 100
   x = 31.5

Therefore, 70% of 45 is 31.5.

200

Write a proportion and solve it. Be sure to show all the steps for solving a proportion. Round answer to nearest tenth. 

23% of 75 is what number?

17.3

Set up the proportion:

We can use the proportion:  part / whole = percent / 100

Let 'x' represent the unknown number (the "part").  In this case, 75 is the "whole," and 23% is the percentage.  So the proportion is:

x / 75 = 23 / 100

2. Cross-multiply:

Multiply the numerator of the first fraction by the denominator of the second fraction, and vice-versa:

100 * x = 23 * 75 100x = 1725

3. Solve for x:

Divide both sides of the equation by 100 to isolate 'x':

x = 1725 / 100 x = 17.25

4. Round to the nearest tenth:

x ≈ 17.3

Therefore, 23% of 75 is approximately 17.3.

300

Write a proportion and solve it. Be sure to show all the steps for solving a proportion. Round answer to nearest tenth. 

45 is what percent of 90?

50%

We can use the proportion: part / whole = percent / 100

In this case, 45 is the "part," 90 is the "whole," and we're looking for the "percent." Let 'x' represent the unknown percentage.  So the proportion is:

45 / 90 = x / 100

2. Cross-multiply:

Multiply the numerator of the first fraction by the denominator of the second fraction, and vice-versa:

45 * 100 = 90 * x 4500 = 90x

3. Solve for x:

Divide both sides of the equation by 90 to isolate 'x':

x = 4500 / 90 x = 50

4. Round to the nearest tenth (although not necessary in this case):

Since the answer is a whole number, rounding to the nearest tenth doesn't change the value.  x = 50.0

Therefore, 45 is 50% of 90.

400

Write a proportion and solve it. Be sure to show all the steps for solving a proportion. Round answer to nearest tenth. 

15 is 25% of what number?

60

1. Set up the proportion:

We can use the proportion: part / whole = percent / 100

In this case, 15 is the "part," 25% is the "percent," and we're looking for the "whole." Let 'x' represent the unknown whole number.  So the proportion is:

15 / x = 25 / 100

2. Cross-multiply:

Multiply the numerator of the first fraction by the denominator of the second fraction, and vice-versa:

15 * 100 = 25 * x 1500 = 25x

3. Solve for x:

Divide both sides of the equation by 25 to isolate 'x':

x = 1500 / 25 x = 60

4. Round to the nearest tenth (although not necessary in this case):

Since the answer is a whole number, rounding to the nearest tenth doesn't change the value. x = 60.0

Therefore, 15 is 25% of 60.

500

Write a proportion and solve it. Be sure to show all the steps for solving a proportion. Round answer to nearest tenth. 

18% of what number is 43?

238.9

1. Set up the proportion:

We use the proportion: part / whole = percent / 100

Here, 43 is the "part," 18% is the "percent," and we're looking for the "whole." Let 'x' represent the unknown whole number. The proportion is:

43 / x = 18 / 100

2. Cross-multiply:

Multiply the numerator of the first fraction by the denominator of the second fraction, and vice-versa:

43 * 100 = 18 * x 4300 = 18x

3. Solve for x:

Divide both sides of the equation by 18 to isolate 'x':

x = 4300 / 18 x ≈ 238.888...

4. Round to the nearest tenth:

x ≈ 238.9

Therefore, 18% of approximately 238.9 is 43.

Word Problems Using Percent Proportion

100

What is Hunter's percent grade if he got 23 correct out of 25?

92%

200

Hunter purchased a new Essentials Hoodie for $132 which was on sale for 60% of its original price. What was the original price of the hoodie?

$220

part / total = percent / 100

In this case:

• Part: $132 (the sale price)
• Total: x (the original price - what we're trying to find)
• Percent: 60%

So the proportion is:

$132 / x = 60 / 100

Now, solve the proportion:

1. Cross-multiply: $132 * 100 = 60 * x 13200 = 60x

2. Divide to isolate x: x = 13200 / 60 x = 220

Therefore, the original price of the hoodie was $220.

300

If Stacie makes 6% commission, how much would she make from a $1,800 sale?

$108

Here's how to set up and solve this problem using a percent proportion:

1. Set up the proportion:

The basic percent proportion is:  part / whole = percent / 100

In this case:

• Part: This is the commission Stacie earns (what we want to find). Let's call it 'x'.
• Whole: This is the total sale amount ($1,800).
• Percent: This is the commission percentage (6%).

So, the proportion is:

x / $1,800 = 6 / 100

2. Cross-multiply:

100 * x = 6 * $1,800 100x = $10,800

3. Solve for x:

x = $10,800 / 100 x = $108

Therefore, Stacie would make $108 in commission from a $1,800 sale.

400

Dash's hourly salary went from $9.00 to $9.27 per hour. What percent raise did Dash receive?

4% raise (increase)

Here's how to solve this using a percent proportion:

1. Calculate the amount of the raise:

$9.27 - $9.00 = $0.27

2. Set up the proportion:

The percent proportion is:  part / whole = percent / 100

• Part: The amount of the raise ($0.27)
• Whole: The original salary ($9.00)
• Percent: The percent raise (what we want to find - let's call it 'x')

So the proportion is:

$0.27 / $9.00 = x / 100

3. Cross-multiply:

$0.27 * 100 = $9.00 * x 27 = 9x

4. Solve for x:

x = 27 / 9 x = 3

Therefore, Dash received a 3% raise.

500

Hunter's school had 2,300 students in 2023 which increased by 33% in the following year. How many students were there in 2024?

3059

Here's how to solve this problem using a percent proportion:

1. Set up the proportion:

The percent proportion is:  part / whole = percent / 100

• Whole: The number of students in 2023 (2300)
• Percent: The percentage increase (33%)
• Part: The increase in the number of students (what we'll call 'x' initially)

So, the proportion is:

x / 2300 = 33 / 100

2. Solve for x (the increase):

• Cross-multiply: 100x = 2300 * 33
• Simplify: 100x = 75900
• Divide: x = 759

3. Calculate the total number of students in 2024:

The number of students in 2024 is the original number plus the increase:

2300 + 759 = 3059

Therefore, there were 3059 students in Hunter's school in 2024.