Question

In a school, a total of 12 cakes of 1.5 kg each are ordered for the distribution of cakes to the children. Each boy is given 20 grams of a piece of cake and each of the girls is given a piece of 30 grams of cake. The number of girls in the school is twice the number of boys. Find the total number of children in the school

Answer 1

We know that the total weight of the cakes is 12 cakes * 1.5 kg/cake = 18 kg

We also know that the piece given to boys is 20 g and that given to girls is 30 g.

Let's assume that the number of boys in the school is x.

The number of girls in the school is 2x because it is twice the number of boys.

The total weight of cake given to boys is x * 20 g = 20x g

The total weight of cake given to girls is 2x * 30 g = 60x g

The total weight of cake given to both boys and girls is 20x g + 60x g = 80x g

We can now set up the following equation: 80x g = 18 kg * 1000 g/kg

Solving for x, we get x = (18000/80) = 225

This means there are 225 boys in the school.

The number of girls in the school is 2x = 2 * 225 = 450

Therefore, the total number of children in the school is 450 girls + 225 boys = 675