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Harrizon [31]
2 years ago
11

A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performa

nce to generate a total revenue of ​$​185,400?
Mathematics
1 answer:
ss7ja [257]2 years ago
5 0

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$​185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

26x + 40y = 185400

Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

- 26y + 40y = 185400 - 156000

14y = 29400

y = 29400/14

y = 2100 tickets

x = 6000 - y

x = 6000 - 2100

x = 3900 tickets

Hence

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

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Answer:

3(4.5)  Because they equal the same thing

Step-by-step explanation:

4.5(+3)=13.5

3(4.5)=13.5

7 0
2 years ago
Four teams will receive prize money based on their ticket sales. The total prize amount to be apportioned is $63. Determine the
Oxana [17]

Answer:

32.43

Step-by-step explanation:

To get the standard divisor

We sum up the tickets sold

Applejack's = 66 tickets

Broncos = 769 tickets

Colts = 652 tickets

Deers = 556 tickets

The total prize amount = $63

Total tickets = 66 + 769 + 652 + 556 = 2043

Standard divisor = 2043/63

= 32.43

The standard divisor to two decimal places is 32.43

8 0
3 years ago
Chrissy wants to spend at most $45 on dinner. If she bought an entree for $20 and she wants to buy mini appetizers for $3 each,
Sever21 [200]

Answer:

Step-by-step explanation:

Chrissy can buy 8 mini appetizers.......because

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:)

8 0
3 years ago
Does anybody know how to do this??
boyakko [2]

just divide 200 until u get 25 i think but idk the second one

3 0
3 years ago
What is the volume of a cube with side lengths that measure 8 cm?
Nataly_w [17]

Answer: 512 cm³

Explanation: Since the length, width, and height of a cube are all equal,

we can find the volume of a cube by multiplying side × side × side.

So we can find the volume of a cube using the formula v = s³.

In the cube in this problem, we have a side length of 8 cm.

So plugging into the formula, we have (8 cm)³

or (8 cm)(8 cm)(8 cm), which is 512 cm³.

So the volume of the cube is 512 cm³.

7 0
3 years ago
Read 2 more answers
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