Question

(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?

Answer 1

The answer to the question.

Answer 2

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.

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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.