Answer:
The total number of trout in the lake is 760.
Step-by-step explanation:
We are given that Raglan's Trout Sanctuary catch a sample of 95 trout and tag them. They then release these trout.
The next day they catch another sample of 64 trout and find 8 of these trout had been tagged the previous day.
Let the total number of trout in the lake be 'N'.
Number of trout caught and tagged = 95
Number of trout caught on next day = 64
Number of trout that were tagged the previous day = 8
This situation can be represented through the following ratio;
[tex]\frac{\text{Total number of trout}}{\text{Trout that were tagged}}= \frac{\text{ Number of trout caught }}{\text{Trout that were tagged}}[/tex]
[tex]\frac{\text{N}}{95} = \frac{64}{8}[/tex]
[tex]\frac{\text{N}}{95} = 8[/tex]
[tex]\text{N} = 8 \times 95[/tex] = 760
Hence, the total number of trout in the lake is 760.
