A cake is cut into four pieces so that each piece is twice as many as the preceding piece. the entire cake weighs ten pounds. How much does each piece weigh?

Let smallest piece weigh x pounds then

x + 2x + 4x + 8x = 10

15x = 10

x = 2/3

so weights of the pieces in ascending order is 2/3, 4/3, 8/3 and 16/3 pounds

or as mixed numbers 2/3, 1 1/3, 2 2/3 and 5 1/3 pounds

1.22222 round it by ten then it would be 1