Please help me with this

A 6000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performa

Lena [83]

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of $174,000, then;

25x + 40y = 174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = 174,000.

25(6000-y) + 40y = 174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000

4 0

4 years ago

What is the answer to this fraction problem 4/5 - 8/15?

Marianna [84]

Is the answer to your question 4/15?

5 0

3 years ago

Read 2 more answers

Find the midpoint between −18 and 52.

Mama L [17]

Finding the midpoint between two points on a line involves three steps:

1. Find the distance between the two points
2. Find half of that distance
3. Either add that half to the lowest point, or subtract it from the highest point.

To find the distance between 52 and -18, we can take the absolute value of their difference. The reason we take the absolute value is to force the sign to be positive, since distances can never be negative. -18 - 52 = -70, and |-70| = 70.

Second, we find half of that distance, which in this case would be 70/2 = 35.

Finally, we add that value to -18 to find a midpoint of -18 + 35 = 17.

5 0

3 years ago

When you multiple 2/3 by a fraction less than one, how does the product compare to the fraction?Explain

pentagon [3]

Thanks for the question!

It will be less than the fraction.

Hope this helps!

7 0

3 years ago

Sam wants to make 4 gallons of vegetable bean soup. The recipe below makes 13 gallon of soup. Help Sam make his grocery list for

Zolol [24]

The proportion of the recipe required to make the grocery list is obtained from the recipe for the beans soup.

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Reason:

Amounts of beans soup Sam wants to make = 4 gallons

The recipe for the beans soup is as follows as obtained from an online home work document are;

Vegetable Bean Soup that Serves 4 with volume of 0. $\overline 3$ gallons

1.25 cups of honey beans

0.75 cup carrots

1 cup cherry tomato

16 oz. vegetable broth

0.875 cup turnips

0.5 teaspoon salt

$0.\overline 6$ cup potato onions

0.125 teaspoon thyme

1 teaspoon garlic

The amount of each ingredient Sam needs is given by the ratio of amount of soup Sam wants to make and the given amount of soup made by the ingredients as follows;

$Multiple \ of \ ingredient \ amount = \dfrac{4}{0. \overline 3} = \dfrac{4}{\dfrac{1}{3} } = 4 \times 3 = 12$

Therefore, Sam has to buy twelve times the amount of each ingredient as follows;

Vegetable Bean Soup that Serves 4 with volume of 0. $\mathbf{\overline 3}$ gallons

12 × 1.25 = 15 cups of honey beans

12 × 0.75 = 9 cups of carrots

12 × 1 = 12 cups of cherry tomato

12 × 16 = 192 oz. vegetable broth

12 × 0.875 = 10.5 cup turnips

12 × 0.5 = 6 teaspoon salt

12 × $0.\overline 6$ = 8 cups of potato onions

12 × 0.125 = 1.25 teaspoons thyme

12 × 1 = 12 teaspoons garlic

The grocery list is therefore;

15 cups of honey beans

9 cups carrots

12 cups cherry tomato

192 oz. vegetable broth

10.5 cup turnips

6 teaspoon salt

8 cups potato onions

1.25 teaspoons thyme

12 teaspoons garlic

Learn more here:

brainly.com/question/20364628

brainly.com/question/21464667

3 0

2 years ago