In a class, 1/5 of the children come to school by car. 6 more children come to school by bus than by car. The remaining 12 children walk to school. What fraction of the children walk to school?

Answer 1

Let's start by using algebra to solve this problem.

Let's call the total number of children in the class "x".

We know that 1/5 of the children come to school by car, so we can set up the equation:

1/5x = number of children who come to school by car

We also know that 6 more children come to school by bus than by car, so we can set up another equation:

(number of children who come to school by car) + 6 = number of children who come to school by bus

Finally, we know that the remaining 12 children walk to school, so we can set up one more equation:

(number of children who come to school by car) + (number of children who come to school by bus) + 12 = x

Now we can use algebra to solve for x:

1/5x + (1/5x + 6) + 12 = x

Multiply both sides by 5 to get rid of the fractions:

x + x + 30 = 5x

Simplify:

2x + 30 = 5x

Subtract 2x from both sides:

30 = 3x

Divide both sides by 3:

x = 10

So there are 10 children in the class.

We know that 1/5 of them come to school by car, which is 2 children.

We also know that 6 more children come to school by bus, which means 8 children come to school by bus.

That means the remaining 10 - 2 - 8 = 0 children walk to school.

So the fraction of children who walk to school is 0/10, which simplifies to 0.

Therefore, none of the children in the class walk to school.