Total number of fish = 1023
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Find total guppies:
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![\dfrac{9}{11} \times 1023 = 837](https://tex.z-dn.net/?f=%20%5Cdfrac%7B9%7D%7B11%7D%20%5Ctimes%201023%20%3D%20837)
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After some anglefish were sold:
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![\text {Fraction of the fish that are guppies = } \dfrac{27}{31}](https://tex.z-dn.net/?f=%5Ctext%20%7BFraction%20of%20the%20fish%20that%20are%20guppies%20%3D%20%7D%20%20%5Cdfrac%7B27%7D%7B31%7D%20)
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Find total number of fish:
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![\dfrac{27}{31} \text {of the fish} = 837](https://tex.z-dn.net/?f=%5Cdfrac%7B27%7D%7B31%7D%20%5Ctext%20%7Bof%20the%20fish%7D%20%20%3D%20837)
![\text {Total number of the fish} = 837 \div \dfrac{27}{31}](https://tex.z-dn.net/?f=%20%5Ctext%20%7BTotal%20number%20of%20the%20fish%7D%20%20%3D%20837%20%5Cdiv%20%5Cdfrac%7B27%7D%7B31%7D)
![\text {Total number of the fish} = 837 \times \dfrac{31}{27}](https://tex.z-dn.net/?f=%5Ctext%20%7BTotal%20number%20of%20the%20fish%7D%20%3D%20837%20%5Ctimes%20%5Cdfrac%7B31%7D%7B27%7D%20)
![\text {Total number of the fish} = 961](https://tex.z-dn.net/?f=%5Ctext%20%7BTotal%20number%20of%20the%20fish%7D%20%3D%20961)
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Find the number of angelfish sold:
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![\text {Angelfish sold =} 1023 - 961 = 62](https://tex.z-dn.net/?f=%5Ctext%20%7BAngelfish%20sold%20%3D%7D%20%201023%20-%20961%20%3D%2062)
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Answer: 62 Angelfish were sold.--------------------------------------------------------------------------------------