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
MArishka [77]
3 years ago
6

I need help with coming up with equation

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

You might be interested in
Finding Distances from the Mean
jarptica [38.1K]

Answer:

x = 0.3, y = 5.3, z = 17.3

Step-by-step explanation:

Since given question is incomplete, so here is the complete table for the distance from the mean.

Temp (°F)                              29      38       45    31      50     58     62    

Distance from the mean    15.7    6.7       x    13.7      y     13.3       z

It's given that the mean of the data is 44.7

Since distance from the mean of a data is the absolute value of the difference of data and mean,

Therefore, distance from the mean of the data will be,

x = |44.7 - 45| = 0.3 (absolute value of the difference)

y = |44.7 - 50| = 5.3

z = |44.7 - 62| = 17.3

6 0
3 years ago
What is the measure of the largest angle on the triangle!
nalin [4]
Okay, so as you may know the inside angles of a triangle always add up to 180! so you must first find x, so that means add up all equations to find x. your answer is 41




























6 0
3 years ago
Read 2 more answers
I need help with this can you?
Reptile [31]

Answer:

A and  D

Step-by-step explanation:

pls make me brainliest

7 0
3 years ago
Read 2 more answers
Plz plz ans this with explanation
saveliy_v [14]

Answer:

8750

Step-by-step explanation:

Since the random sample contained 125 out of 500 people who voted for the dog park that is about 25%. since 25% of 500 is 125. If we scale that up to 25% of 3500 it would be 8750 people.

8 0
3 years ago
Read 2 more answers
Ordered pairs of y=2/3x+1
Mrrafil [7]

Answer:

(-1.5,0) (0,1)

Step-by-step explanation:

used desmos

6 0
3 years ago
Other questions:
  • For an outdoor concert by the city orchestra, concert organizers estimate that 13,000 people will attend if it is not raining .
    11·1 answer
  • What it 7,755 divided by 25?
    5·2 answers
  • Use the table provided to find an exponential model ƒ(x) = abx, where ƒ is the population of Florida, and the input is the numbe
    8·1 answer
  • How do you know if a function is increasing or decreasing?
    12·1 answer
  • Draw a diagram similar to the one above to represent 1/2 - 3/8
    6·1 answer
  • Please help! z > 34. Which of the following statements is the best way to describe the value of z?
    6·2 answers
  • What is the difference between divisor and dividend?
    7·1 answer
  • C = 2<br> 7 cm<br> What is the C?!
    11·1 answer
  • Derek scored a 15/25 on his math test and Meredith scored a 8/14 on her science test. Who had the best score? Explain.
    11·2 answers
  • The triangle below is isosceles. If ∠C≅∠B, then what is BC, in units?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!