Fe metal sheet

For one product, 5/8 of the metal sheet are consumed, to the second 5/6 of remains. What part of the sheet metal is consumed for both products together?

Result

x =  0.938

Solution:

a=58=0.625 b=56⋅ (1−a)=56⋅ (1−0.625)=516=0.3125  x=a+b=0.625+0.3125=1516=0.9375=0.938a=\dfrac{ 5 }{ 8 }=0.625 \ \\ b=\dfrac{ 5 }{ 6 } \cdot \ ( 1 - a)=\dfrac{ 5 }{ 6 } \cdot \ ( 1 - 0.625)=\dfrac{ 5 }{ 16 }=0.3125 \ \\ \ \\ x=a+b=0.625+0.3125=\dfrac{ 15 }{ 16 }=0.9375=0.938

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