Alex is making cookies. The recipe calls for ¾ cup of brown sugar and 2 eggs. Alex wants to expand the recipe to make more cookies, so he’s using 8 eggs. How many cups of brown sugar does he need?
If Alex wants to expand the recipe to use 8 eggs, then he needs to multiply ¾ cup of brown sugar by 8/2 = 4.
So, he needs 4 * ¾ = <<4*3/4=3>>3 cups of brown sugar. Answer: \boxed{3}.
A high school sold 450 tickets for a basketball game. If ⅔ of the tickets sold were adult tickets, which cost $10.00 each, how much money did the high school make from the sale of student tickets if they cost ¾ of the amount of adult tickets? (Item 4)
If ⅔ of the tickets sold were adult tickets, then the number of adult tickets sold is ⅔ * 450 tickets = 300 tickets.
Since student tickets cost ¾ of the amount of adult tickets, then the cost of the student tickets is ¾ * $10.00 = $<<3/4*10=7.50>>7.50 each.
Therefore, the total amount of money made from the sale of student tickets is $7.50/ticket * 150 tickets = $<<7.5*150=1125>>1125. Answer: \boxed{1125}.
What is the total amount you must pay for an item purchased for $217.99 with a sales tax of 6.5%? (Item 5)
To calculate the total amount, you need to add the price of the item to the sales tax.
The sales tax is 6.5%, which can be written as 0.065 in decimal form.
The amount of sales tax on the item is $217.99 * 0.065 = $14.16935.
So, the total amount to pay is $217.99 + $14.16935 = $<<217.99+14.16935=232.15935>>232.16.
Therefore, the total amount you must pay for the item is $232.16. Answer: \boxed{232.16}.
Juan went to a restaurant and paid the bill for his entire party. The food totaled $87.90. Sales tax is 8%, and he wants to leave a 25% tip. What is his grand total?
To find out Juan's grand total, we need to calculate the sales tax, the tip, and then add them to the total cost of the food.
First, let's calculate the sales tax. The food totaled $87.90, and the sales tax is 8%. So the sales tax amount is $87.90 * 0.08 = $7.032.
Next, let's calculate the tip. The total cost of the food is $87.90, and Juan wants to leave a 25% tip. So the tip amount is $87.90 * 0.25 = $21.975.
Finally, to get Juan's grand total, we add the total cost of the food, the sales tax, and the tip together: $87.90 + $7.032 + $21.975 = $116.907.
Therefore, Juan's grand total is $116.91. Answer: \boxed{116.91}.
Mrs. Jones decided to ride her Peloton bike a distance of 20 kilometers. She estimated it would take her 38 minutes to complete the ride. Mrs. Jones actually finished the ride in 35 minutes. What is the percentage error? Round to the nearest tenth of a percent. (Item 7)
To calculate the percentage error, we need to find the difference between the estimated time and the actual time, and then express it as a percentage of the estimated time.
The estimated time is 38 minutes, and the actual time is 35 minutes. The difference is 38 - 35 = 3 minutes.
To express this as a percentage of the estimated time, we divide the difference by the estimated time, and then multiply by 100: (3 minutes / 38 minutes) * 100 = 7.9%.
Rounded to the nearest tenth of a percent, the percentage error is 7.9%. Answer: \boxed{7.9}.