Grandmother and grandfather

Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There left six cakes for parents. How many cakes were made by the grandmother?

Correct answer:

x =  32

Step-by-step explanation:

x2x41 2x21 (x2x41 2x) = 6 x2x81 x21 83  x = 6 2x  81 x  163 x = 6 83 x  163 x = 6 83 x  163 x = 6  163  x = 6  x=6 316=36 16=396=32   Verifying Solution:  a=x/2=32/2=16 b=(xa)/4=(3216)/4=4 c=(xab)/2=(32164)/2=6 d=6  S=a+b+c+d=16+4+6+6=32

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