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
Ivahew [28]
3 years ago
14

(08.06) A matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c)

who saw a movie was 35, and the total money collected was $70. Which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?

Mathematics
2 answers:
Natali [406]3 years ago
6 0

Answer:

There were 7 adults and 28 children.

Step-by-step explanation:

Let the number of adults who saw a movie that day be 'a'

Let the number of children who saw a movie that day be 'c'

A matinee ticket costs $6 per adult and $1 per child. On a certain day total money collected was $70. We can represent this as :

6a+1c=70    ...... (1)

On a certain day, the total number of adults and children who saw a movie was 35. This can be represented as :

a+c=35   .......(2)

These two equations can be used to solve this question.

------------------------------------------------------------------------------------

If you want to solve this, we can substitute c=35-a in (1)

6a+1(35-a)=70

=> 6a-a=70-35

=> 5a=35

a = 7

And c = 35-7=28

So, there were 7 adults and 28 children.

iragen [17]3 years ago
3 0
The answer to the question.

You might be interested in
Which expressions have the same solution as –4(6)? Check all that apply.
geniusboy [140]

Answer:

4(-6), 6(-4), 12(-2)

Step-by-step explanation:

-4(6) = -4 x 6 = -24

so

4(-6) = 4 x -6 = -24

6(-4) = 6 x -4 =  -24

12(-2) = 12 x -2 = -24

8 0
2 years ago
Read 2 more answers
James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?
andreev551 [17]

James'age : 12, Kate's age : 7

<h3>Further Explanation </h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

\large{\boxed{\bold{ax=b}}}

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

\large{\boxed{\bold{ax+by=c}}}

x, y = variable

In the statement of the task:

  • James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2  ⇒equation 1
  • Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K  ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

<h3>Learn more</h3>

the slope-intercept form of the linear equation

brainly.com/question/1945934

a graph of a linear equation

brainly.com/question/1505806

system of linear equations

brainly.com/question/11544167

Keywords : Age, variable, linear equation

4 0
3 years ago
You are ordering a pizza. You have a choice of three toppings: mushrooms, pepperoni, and peppers. How many different pizzas can
astra-53 [7]
U can do exactly 6 different pizzas
8 0
3 years ago
Read 2 more answers
Please help me in this question, pleaee
-Dominant- [34]

Answer:

They will meet in 5:30.

Step-by-step explanation:

'Cause you have to fin the LCM (least common multiple). And in this case the LCM is 30.

7 0
3 years ago
Fractions and mixed numbers I need help!!!
zimovet [89]

Answer:

The answer would be D, or 3^{3} *3^{2}* 5

Step-by-step explanation:

A is 540

B is 30

C is 720

D is 360

7 0
3 years ago
Other questions:
  • a total of 210 people attended the opening night of a School Musical, students tickets cost $3 each while general admission tick
    8·2 answers
  • Please I need help
    9·1 answer
  • Find an explicit rule for the nth term of the sequence.
    12·2 answers
  • I need all but if someone could just do the first, it would help a lot
    11·1 answer
  • Suppose that 1 month before the election a random sample of 500 registered voters are surveyed. From this sample 270 indicate th
    5·1 answer
  • The function y= x2 - 10x+ 31 has a<br> value of
    7·1 answer
  • PLEASE HELP BRAINLIST :(((
    9·1 answer
  • The exact same experiment was conducted 14 times. How many times should the results have been similar for them to be valid?A.8
    15·1 answer
  • You are given the system of equations to solve by the elimination method, which is an INCORRECT step that will NOT produce a sys
    12·2 answers
  • Can someone give me an explanation to parabola formula.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!