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sesenic [268]
3 years ago
11

To determine the number of trout in a​ lake, a conservationist catches 180 ​trout, tags them and throws them back into the lake.

​ later, 48 trout are​ caught; 12 of them are tagged. how many trout would the conservationist expect to be in the​ lake?
Mathematics
1 answer:
GaryK [48]3 years ago
3 0
The ratio of the trout with tags that are caught and the total trout with tags is first calculated.

     r = 12 trout / 180 trout = 1/15

Then, we divide the number of trouts caught without tag by the value obtained above.

     N = (48 - 12) / (1/15) = 540

Then, we add the number obtained above and 180.
     T = 540 + 180 = 720

ANSWER: 720
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It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
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<em><u>Solution:</u></em>

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If M_1 men can do W_1 work in D_1 days working H_1 hours per day and M_2 men can do W_2 work in D_2 days working H_2 hours per day, then

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Here in this sum,

<em><u>54 minutes for 4 people to paint 6 walls</u></em>

H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls

<em><u>Minutes required for 6 people to paint 7 walls</u></em>

H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls

<em><u>Substituting the values in formula, we get</u></em>

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