Question

arana cake is cut into halves and cut one half onto smaller pieces of equal size. each of the small pieces is twenty gram in weight. if she has seven pieces of the cake in all with her, how heavy was the original cake?

Answer 1

In the given question;
Arana cut the cake into two equal halves. Now, one of these pieces is further cut into smaller pieces of equal sizes.

We know that;
Total number of pieces = 7

This means that one half of the cake is cut into 6 equal halves and the other half is kept as it.

Weight of one small piece = 20 gm
Weight of 6 small pieces =$\left(20\times 6\right)gm$
= 120 gm

Now, initially the cake was cut into 2 equal halves. So
Weight of 7th piece of the cake (other half of the cake) = Weight of 6 small pieces
Weight of 7th piece of the cake = 120 gm

Total weight of the cake = Weight of 6 small pieces + Weight of 7th piece
= ( 120 + 120 ) gm
= 240 gm

Therefore, original cake weighed 240 gm.