Current world population is 7.64 billion.
Number of people in developed nations :
[tex]n = \dfrac{7.64\times 17}{100}\\\\n=1.3\ billion[/tex]
Now, per person in developed country eats 100 kg of meat .
So, 1.3 Billion people will eat :
[tex]M =1.3\times 100\ billion\ kg\\\\M=130\ billion\ kg[/tex]
Therefore, meat consumed in the developed world in 1 year is 130 billion kg.
Hence, this is the required solution.