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A problem states "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"

Let "c" represent the number of children.

Which expression represents the number of parents?

A. c + 9
B. c * 9
C. c - 9
D. 9 - c

Respuesta :

The correct answer is c

Answer: Option 'c' is correct.

Step-by-step explanation:

Let the number of children be 'c'.

According to question,

"There are 9 more children than parents in a room.

Let the number of parents would be 'p'.

According to question, it becomes,

[tex]c-p=9\\\\c-9=p[/tex]

As there are total 25 people in the room = 25

So, it becomes,

[tex]c+p=25\\\\c+c-9=25\\\\2c-9=25\\\\2c=34\\\\c=17[/tex]

Hence, there are 17 children and 17-9 = 8 parents.

Therefore, option 'c' is correct.

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