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
svetoff [14.1K]
3 years ago
15

A theater sold 4 adult tickets and 3 child tickets for 156 dollars they also sold 3 adult tickets and 4 child tickets for 145 do

llars. How much are adult and child tickets
Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer: Adult tickets cost 27 dollars while Child tickets cost 16 dollars

Step-by-step explanation: The question clearly states that adult tickets and child tickets are sold for a combined total sales amount. However the combination of adult and child tickets always yield a different sales total depending on the mix of tickets. This implies that both tickets have different amounts attached to them.

For a start, we shall assign an alphabet to each of the unknown ticket values. Let’s assume that adult tickets are represented by letter A, and child tickets are represented by B. If 4 adult and 3 child tickets are sold for 156 dollars, then what we have is

4A + 3B = 156 —————(1)

Also if 3 adult tickets and 4 child tickets are sold for 145 dollars, then what we have here is

3A + 4B = 145 ————-(2)

Now we have a pair of simultaneous equations which are;

4A + 3B = 156 —————(1)

3A + 4B = 145 —————(2)

We shall apply the elimination method to solve for A and B. First of all we shall eliminate the coefficients of A by multiplying equation (1) with 3, and multiplying equation (2) with 4. This now gives us

12A + 9B = 468 ———-(3)

12A + 16B = 580 ———(4)

Subtract equation 3 from equation 4 and we arrive at

7B = 112

(Note that 12A - 12A = 0)

Divide both sides of the equation by 7

B = 16

Having that in mind, we shall now substitute for the value of B = 16 in equation 1.

4A + 3B = 156

4A + 3(16) = 156

4A + 48 = 156

Subtract 48 from both sides of the equation

4A = 108

Divide both sides of the equation by 4

A = 27

Hence, adult tickets are sold for 27 dollars while child tickets are sold for 16 dollars.

Aleks04 [339]3 years ago
4 0

Answer:

371

Step-by-step explanation:

You might be interested in
Can You Guys Please Help???
Bezzdna [24]

Answer:


Step-by-step explanation:

The answer is c.


Proportional means a relationship of y = a constant multiplied by x


In this case, the constant is 7.


i.e. y = 7x


So if


x is 3, y is 21


x is 5, y is 35


x is 7, y is 49


and so on...


And there you have it.


8 0
3 years ago
(8+2b)+(-4+6x)+(6+9m)
ANTONII [103]

Answer:

2 b + 9 m + 6 x + 10

Step-by-step explanation:

2 b + 4 + 6 x + 6 +9 m

2 b + 6 x + 10 + 9m

2 b + 6 x + 9 m + 10

= 2 b + 9 m + 6 x + 10

3 0
2 years ago
Read 2 more answers
What is the area of the circle to the nearest tenth of a unit?
kodGreya [7K]

Answer:

15.2

Step-by-step explanation:

PiRsquared

Pi x 2.2²

5 0
3 years ago
Write 50/12 as a mixed number.
skelet666 [1.2K]
4 and 1/6 is the mixed number, or 4 and 2/12
5 0
3 years ago
Read 2 more answers
There are 28 students in Mr. Smith's math class. 6/7 of them prefer pizza over cheeseburgers. How many students prefer pizza?
miv72 [106K]
24 prefer pizza

Plz give brainliest
7 0
3 years ago
Read 2 more answers
Other questions:
  • Algebra- Find the unknown digit to make each statement true
    12·1 answer
  • Need Help Asap Please Help
    14·2 answers
  • How will the graph of line y = -3x+8 be affected if the 8 is changed to -3?
    8·2 answers
  • ANSWER ASAP PLEASE!!!!!!!!!!!!!
    8·2 answers
  • What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?
    6·1 answer
  • What is the surface area of the cylinder?
    11·2 answers
  • The school's photographer took pictures of couples at this year's prom. She
    14·1 answer
  • Which statement explains how to calculate the mean of a set of data? O A. Subtract the smallest from the largest value. O B. Add
    15·2 answers
  • Marie has one 6-sided cube with the last 6 letters of the alphabet. She has another 6-sided cube with the first 6 letters of the
    10·1 answer
  • scott combines 6.54 onces of strawberries and 6.09 ounces of blueberries to make fruit bowels . he pours the fruit equally into
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!