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 :
[tex]6a+1c=70[/tex] ...... (1)
On a certain day, the total number of adults and children who saw a movie was 35. This can be represented as :
[tex]a+c=35[/tex] .......(2)
These two equations can be used to solve this question.
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If you want to solve this, we can substitute [tex]c=35-a[/tex] in (1)
[tex]6a+1(35-a)=70[/tex]
=> [tex]6a-a=70-35[/tex]
=> [tex]5a=35[/tex]
a = 7
And c = [tex]35-7=28[/tex]
So, there were 7 adults and 28 children.
