You have cut a cake into two halves. One half is further cut into smaller pieces of equal size, each of 15g in weight. If you have nine pieces of the cake in all, what was the weight of the cake?

280 g

140 g

240 g

None of these

Explanation

Let's analyze the situation:

You have 9 pieces in total, and one half of the cake is cut into smaller pieces. Since the other half is not cut, it counts as 1 piece, and the remaining 8 pieces come from the other half.

Each small piece weighs 15g, so the total weight of the half that was cut is:

8 pieces × 15g/piece = 120g

Since the cake was cut into two equal halves, the total weight of the cake is:

2 × 120g = 240g