Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill = twice as much as Pete

=2x

Pete's share + Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2:3

x=1/2*1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2 (1/6)

=2/6

=1/3