1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergij07 [2.7K]
3 years ago
11

A small theater with 200 seats sells two kinds of tickets for a performance. Premium tickets sell for $20 each and Standard tick

ets sell for $15 each. At a sold-out performance, $3400 was collected in ticket sales. How many tickets of each type were sold?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
P + s = 200......p = 200 - s
20p + 15s = 3400

20(200 - s) + 15s = 3400
4000 - 20s + 15s = 3400
-20s + 15s = 3400 - 4000
-5s = - 600
s = -600/-5
s = 120 <=== there were 120 standard tickets sold

p + s = 200
p + 120 = 200
p = 200 - 120
p = 80 <=== there were 80 premium tickets sold
You might be interested in
(99 POINTS) Using similarity solve for x. Show all work
Anna11 [10]
Hey there! :D

The biggest thing to remember here is the similar triangles and their side lengths. 

Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to. 

We want to find two triangles that have "x" has a value of their side, so we can solve a proportion. 

The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.

On the smaller triangle:

We have 9 cm on the shorter side and x as the hypotenuse. 

On the larger triangle: 

We have x as the shorter side, and then 25 as the hypotenuse. (9+16)

Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it. 

So, now we can make a proportion. 

\frac{x}{9} =  \frac{25}{x}

Now, cross multiply. 

9*25= 225

x*x= x^{2}

So, find the square root. 

√225= 15

x= 15. 

I hope this helps!
~kaikers
7 0
3 years ago
Read 2 more answers
The ratio of the sides of two similar regular octagons is 4:7. If the measure of each side of the larger octagon is 28 cm, then
Virty [35]

Answer:

16 cm.

Step-by-step explanation:

It is 4 times the ratio.

8 0
2 years ago
Simplify sin(tan^(-1)x)
AnnZ [28]
Sin (tan^(-1)X)
Sin (1/tan X)
Sin (1/1 / tan X/1)
Tan X = sin X/cos X

Sin (1/1 / sin X/cos X)
Sin (1/1 • cos X/Sin X)
Sin (cos X/sin X )
Cos X.

I believe the correct answer is cos X.
4 0
3 years ago
Tìm nghiện của đa thức <br> A.x-2<br> B.2x-7<br> C.(X-4)*(2-3X
Vitek1552 [10]

Answer:

C.

make me brainlest if you copy okay

6 0
3 years ago
The point (1,5) lies in quadrant II of a rectangular coordinate system​
natali 33 [55]

Answer:

No

Step-by-step explanation:

Complex answer: For a point to be in quadrant II, it must have a negative x value and a positive y value.

Simple answer: The 1 would have to be negative to be in quadrant II, and it isn't

6 0
3 years ago
Other questions:
  • What is the product of 3 and 2/11
    7·2 answers
  • Find the measure for ∠LQR. <br><br> A) 126 °<br><br> B) 129 °<br><br> C) 131 °<br><br> D) 133 °
    5·2 answers
  • Between which two integers is the positive value of the square root of 55?
    14·2 answers
  • Answer quick please.
    5·1 answer
  • Mike is putting up a snow fence on the west side of his property. He needs a post at each end to hold the fence up and would lik
    5·2 answers
  • 1. What is the circumference of the circle below? Use 3.14 for pi and Round
    7·2 answers
  • (12.9−3.1)×6.2−2+<img src="https://tex.z-dn.net/?f=4%5E%7B3%7D" id="TexFormula1" title="4^{3}" alt="4^{3}" align="absmiddle" cla
    5·1 answer
  • Help pls i have a D in math rn i really need help if you could :(
    5·2 answers
  • Nobody's helping me ;-;
    5·1 answer
  • What is the result when the number 76 is increased by 1.8%
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!