Grandmother and grandfather

Grandmother baked cakes. Grandfather ate half, then quarter of the rest ate Peter and Paul ate half of rest. For parents left 6 cakes. How many cakes maked the grandmother?

Correct result:

x =  32

Solution:

x-x/2-1/4•x/2-1/2•(x-x/2-1/4•x/2)=6

0.75x = 24

x = 32

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