Hi can you please help me with these math questions? I really need to know the answers.
21. Find the unit price for each option shown below. Round to the nearest cent when necessary. Indicate which option is the better buy.
Option I: 10 candy bars for $6.75
Option II: 12 candy bars for $7.25
22. Calculate the final price you would pay to buy a jacket that originally sells for $65, but is discounted by 40%, you also have to pay 5% sales tax.
23.Natalie picked 135 berries in 15 miniutes. If she continues picking at that rate, how long will it take her to pick 486 berries?
I have an answer but I don't know if its right: 15 X 486 / 135= 54
25. ( 42%= Football
33%= baseball
25%= soccer)
If 210 people said football was their favorite sport to watch, how many people were surveyed?
I think I got 21. 10/$6.75 = $1.48 12/$.25= $1.65 so option 1 is cheaper.
You don't need the answers. You need to learn how to do these problems.
You have the right answer for 23.
Please try the others, and we'll check them for you.
Then for 22 I got:
65 X 0.6 X 1.05=$40.95
And then my answer for 25 is 210 by 42=5 1%=5 people 100% x 5 people=500
21. Does that make sense to you? Would you pay $1.48 each when you could get 10 for less than $7.00?
22. and 25. are correct.
I don't even get number 22.
Sure! I'll be happy to help you with these math questions. Let's go through each question one by one.
21. To find the unit price, divide the total cost by the quantity.
Option I: Unit Price = $6.75 / 10 = $0.675 per candy bar
Option II: Unit Price = $7.25 / 12 = $0.6042 per candy bar
To compare which option is the better buy, we look for the lower unit price. In this case, Option II has a lower unit price, so it is the better buy.
22. To calculate the final price of the jacket, we need to consider the discount and the sales tax.
Step 1: Calculate the discounted price by subtracting the discount from the original price:
Discounted Price = Original Price - (Discount Percentage * Original Price)
Discounted Price = $65 - (40% * $65)
Step 2: Calculate the amount of sales tax by multiplying the sales tax percentage by the discounted price:
Sales Tax Amount = Sales Tax Percentage * Discounted Price
Sales Tax Amount = 5% * Discounted Price
Step 3: Calculate the final price by adding the discounted price and the sales tax amount:
Final Price = Discounted Price + Sales Tax Amount
Substitute the values into these equations to find the final price.
23. Your answer is correct!
To find out how long it will take Natalie to pick 486 berries at the same rate, we can set up a proportion by comparing the number of berries to the time:
135 berries / 15 minutes = 486 berries / x minutes
Cross-multiplying and then solving for x:
135x = 15 * 486
x = (15 * 486) / 135
x = 54
So it will take Natalie 54 minutes to pick 486 berries.
25. If 42% of people surveyed said football was their favorite sport to watch and the total number of people surveyed is denoted as x, we can set up an equation:
42% of x = 210
To solve for x, first convert 42% to decimal form by dividing by 100: 42/100 = 0.42
0.42x = 210
Now divide both sides of the equation by 0.42 to solve for x:
x = 210 / 0.42
x = 500
Therefore, 500 people were surveyed in total.
I hope these explanations help you understand how to solve these math problems! Let me know if you have any further questions.