Question

A total of 1,023 hippies and anglefish were in a big tank. The number of guppies were 9/11 the total number of fish in the tank. However, some angers fish were sold out,and the number of hippies beacons 27/31 the total number of fish. How many angelfish were sold ?

Answer 1

1023*9/11=837 is number of guppies

when angers fish were sold out  total fish became equal 837*31/27= 961

total fish before - total fish at the end = 1023-961= 62 angers fish were sold

Answer 2

Total number of fish = 1023

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Find total guppies:
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$\dfrac{9}{11} \times 1023 = 837$

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After some anglefish were sold:
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$\text {Fraction of the fish that are guppies = } \dfrac{27}{31}$

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Find total number of fish:
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$\dfrac{27}{31} \text {of the fish} = 837$

$\text {Total number of the fish} = 837 \div \dfrac{27}{31}$

$\text {Total number of the fish} = 837 \times \dfrac{31}{27}$

$\text {Total number of the fish} = 961$

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Find the number of angelfish sold:
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$\text {Angelfish sold =} 1023 - 961 = 62$

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Answer: 62 Angelfish were sold.
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