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:

 12⋅x+14⋅x+38=x x(1−12−14)=38  x⋅8−4−28=38 x⋅28=38 x=38⋅82 x=152 \ \\ \dfrac{1}{ 2} \cdot x + \dfrac{1}{ 4} \cdot x + 38 = x \ \\ x( 1- \dfrac{1}{ 2} - \dfrac{1}{ 4} ) = 38 \ \\ \ \\ x \cdot \dfrac{ 8 - 4 - 2 } { 8 } = 38 \ \\ x \cdot \dfrac{ 2 } { 8 } = 38 \ \\ x = 38 \cdot \dfrac{ 8 } { 2 } \ \\ x = 152

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