Question

A cake weight 1.98 is cut into two parts so that first part is heavier then the second by 20%. find the weight of each part

Answer 1

assuming, second part of cake is X

then first part of the cake will be
X +20% of X
which is equivalent to
X+0.2X =1.2X

Now, as Given in the question

The total weight of cake 1.98 should be equals to the combined weight of both parts of cake.
Okay.
so,
✓ X + 1.2X = 1.98
✓ 2.2X = 1.98
✓ X = 1.98/2.2
✓ X = 0.9

thus the weight of first part is 1.2×X = 1.2×0.9 = 1.08
second part of the cake is X = 0.9

This is the final solution.