Camp

In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp?

Correct result:

x =  152

Solution:

$$\begin{gathered} {\displaystyle \frac{1}{2}}\cdot x+{\displaystyle \frac{1}{4}}\cdot x+38=x \\ x(1-{\displaystyle \frac{1}{2}}-{\displaystyle \frac{1}{4}})=38 \\ x\cdot {\displaystyle \frac{8-4-2}{8}}=38 \\ x\cdot {\displaystyle \frac{2}{8}}=38 \\ x=38\cdot {\displaystyle \frac{8}{2}} \\ x=152 \end{gathered}$$

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