63.0k views
0 votes
(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?

2 Answers

6 votes
The answer to the question.
(08.06) A matinee ticket costs $6 per adult and $1 per child. On a certain day, the-example-1
User Nimer
by
8.5k points
5 votes

Answer:

There were 7 adults and 28 children.

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.

User Darius Jahandarie
by
7.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories