Question

Some of Graciela's friends went to the movies. After the movies, half of them went to arestaurant. Of those who did not go to the restaurant, half went for a walk and 4 returned to theirhouses. There were 5 left, who played Golfito. How many went to the movies?

Answer 1

The number of people who went to the movies is X

Half went to a restaurant -> X/2

Of those who did not go to the restaurant (X/2) -> half went for a walk (X/4) + 4 returned to their houses. There were 5 left

with that information, we can write the following equation:

`(x)/(2)=(x)/(4)+4+5`

now, we just need to solve for x, as follows

`\begin{gathered} (x)/(2)=(x)/(4)+4+5 \\ (x)/(2)=(x)/(4)+9 \\ (x)/(2)-(x)/(4)=9 \\ x((1)/(2)-(1)/(4))=9 \\ x((2)/(4)-(1)/(4))=9 \\ x((2-1)/(4))=9 \\ x\cdot((1)/(4))=9 \\ x=4\cdot9 \\ x=36 \end{gathered}`

in conclusion, 36 people went to the movies