A community for students.
Here's the question you clicked on:
 0 viewing
automaticloveletter
 one year ago
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?
7 children and 28 adults
Equation 1: a + c = 35
Equation 2: 6a − c = 70
7 children and 28 adults
Equation 1: a + c = 35
Equation 2: 6a + c = 70
28 children and 7 adults
Equation 1: a + c = 35
Equation 2: 6a + c = 70
automaticloveletter
 one year ago
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? 7 children and 28 adults Equation 1: a + c = 35 Equation 2: 6a − c = 70 7 children and 28 adults Equation 1: a + c = 35 Equation 2: 6a + c = 70 28 children and 7 adults Equation 1: a + c = 35 Equation 2: 6a + c = 70

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just a heads up. On your other question about the elimination method, the first person to answer your question was wrong. I showed you how to do the problem and my answer checked out. You may want to visit it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can work with you on this problem now.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay let's break it down. Let's start with the first information given to us: $6 per adult and $1 per child. We don't know what the numbers of adults and children are so we need to assign each a variable. Let "a" stand for number of adults and "c" for number of children.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Does that make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So basically the sentence "$6 per adult" is equal to the expression: 6a. and "$1 per child" is equal to the expression 1c.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If we took those two expressions and added them together, would you agree that we would find the total cost of this trip to the movies?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay. lets say the total cost is represented by an x. The equation would be 6a+1c=x.

automaticloveletter
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, I get that part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We can fill in the x variable because in the problem it says that the total money collected was $70. So now the equation would be: 6a+1c=70.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we can drop the 1 in front of the c and the equation's value wouldn't change: 6a+c=70.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0next you would take the number of adults and the number of children and add them together to find the total number of people that came.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you figure out that equation?

automaticloveletter
 one year ago
Best ResponseYou've already chosen the best response.1No that's where I got stuck

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay. Well, remember when I said that our variables would be "a" for the NUMBER OF ADULTS and "c" for the NUMBER OF CHILDREN? To find the total number of people who came, you would take the NUMBER OF ADULTS and the NUMBER OF CHILDREN and add them together to get the total number of people which according to the directions is 35.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Your equation would simply be a+c=35.

automaticloveletter
 one year ago
Best ResponseYou've already chosen the best response.1So it's either B or c

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. now we just have to solve the equations. Do you want help with that?

automaticloveletter
 one year ago
Best ResponseYou've already chosen the best response.1I'm leaning towards C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's correct! Great job! :)

automaticloveletter
 one year ago
Best ResponseYou've already chosen the best response.1Thank you for helping me c:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're very welcome! I enjoyed it! :) :) :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did you check out my answer to your other question yet? You would multiply the bottom equation by 3.

automaticloveletter
 one year ago
Best ResponseYou've already chosen the best response.1I did. Thanks again. :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.