The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost $13.95 each, how much money did the theater make from the sale of children’s tickets if they cost 2/3 of the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places.(1 point)
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The number of adult tickets sold is (2/3)*345 = <<2/3*345=230>>230
If adult tickets cost $13.95 each, the theater made 230*$13.95 = $3208.50 from the sale of adult tickets
The price of a child's ticket is (2/3)*$13.95 = $<<2/3*13.95=9.30>>9.30
Since the theater sold 345 tickets and 230 of them were adult tickets, there were 345-230 = <<345-230=115>>115 children's tickets sold.
From the sale of children's tickets, the theater made $9.30*115 = $1069.50
In total, the theater made $3208.50 + $1069.50 = $<<3208.5+1069.5=4278>>4278 from ticket sales. Answer: \boxed{4278}.
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Sure!
If 2/3 of the tickets sold were adult tickets, that means 1/3 of the tickets sold were children's tickets. Therefore, there were (1/3)*345 = 115 children's tickets sold.
Adult tickets cost $13.95 each, so the theater made 230*$13.95 = $3208.50 from selling adult tickets.
Children's tickets cost 2/3 of the amount of adult tickets, which is (2/3)*$13.95 = $9.30.
Therefore, the theater made $9.30*115 = $1069.50 from selling children's tickets.
In total, the theater made $3208.50 + $1069.50 = $4278 from ticket sales.
Louisa purchased a new snake for $199.00. Sales tax is 7.25%. What is her total bill? Round your answer to the nearest hundredth.(1 point)
To find the sales tax amount, we need to multiply the price of the snake ($199.00) by the sales tax rate (7.25% or 0.0725):
Sales tax = $199.00 * 0.0725 = $14.4275
To find the total bill, we need to add the price of the snake and the sales tax:
Total bill = $199.00 + $14.4275 = $213.43
Therefore, Louisa's total bill is $213.43.
Jesse buys his coworkers lunch from the local steakhouse. The food costs $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. How much will the total be, including tax and tip?(1 point)
To calculate the sales tax, we multiply the food cost ($105.79) by the sales tax rate (9% or 0.09):
Sales tax = $105.79 * 0.09 = $9.52
To calculate the tip, we need to find 20% of the pre-tax amount. The pre-tax amount is $105.79, so the tip amount is:
Tip = $105.79 * 0.20 = $21.16
To find the total cost, we sum up the food cost, tax, and tip:
Total cost = Food cost + Sales tax + Tip
= $105.79 + $9.52 + $21.16
= $136.47
Therefore, the total cost, including tax and tip, will be $136.47.
Use the conversion ratio 1 liter equals 1,000 milliliters. A cylinder holds 6,750 milliliters. How many liters does it hold?(1 point)
To convert milliliters to liters, we divide the number of milliliters by the conversion ratio of 1 liter equals 1,000 milliliters.
Given that a cylinder holds 6,750 milliliters, we can find the number of liters it holds as follows:
Liters = 6,750 milliliters / 1,000 milliliters per liter
= 6.75 liters
Therefore, the cylinder holds 6.75 liters.
Use the ratio 1 gallon equals about 3,785 milliliters. A container holds 34,065 milliliters. How many gallons does the container hold?(1 point)
To convert milliliters to gallons, we divide the number of milliliters by the conversion ratio of 3,785 milliliters per gallon.
Given that a container holds 34,065 milliliters, we can find the number of gallons it holds as follows:
Gallons = 34,065 milliliters / 3,785 milliliters per gallon
= 9 gallons (rounded to the nearest whole number)
Therefore, the container holds approximately 9 gallons.