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:

$\frac{x}{2}=\frac{x}{4}+4+5$

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

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

in conclusion, 36 people went to the movies