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?

Correct result:

x =  0.9375

Solution:

$$\begin{gathered} a={\displaystyle \frac{5}{8}}=0.625 \\ b={\displaystyle \frac{5}{6}}\cdot (1-a)={\displaystyle \frac{5}{6}}\cdot (1-0.625)={\displaystyle \frac{5}{16}}=0.3125 \\ x=a+b=0.625+0.3125={\displaystyle \frac{15}{16}}=0.9375 \end{gathered}$$

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