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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.

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