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Krishna and Radha rent a pasture for 12 months. Krishna puts in 200 cows for 8 months. How many cows can Radha put in the pasture for the remaining 4 months if she pays 1(1/2) as much as Krishna?

Question

Krishna and Radha rent a pasture for 12 months. Krishna puts in 200 cows for 8 months. How many cows can Radha put in the pasture for the remaining 4 months if she pays 1(1/2) as much as Krishna?

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Solution

This problem can be solved by understanding that the cost of renting the pasture is proportional to the number of cows and the amount of time they spend in the pasture.

Step 1: Calculate the total cost for Krishna. Krishna has 200 cows in the pasture for 8 months, so the total cost for Krishna is 200 cows * 8 months = 1600 cow-months.

Step 2: Calculate the total cost for Radha. Radha pays 1.5 times as much as Krishna, so the total cost for Radha is 1.5 * Krishna's cost = 1.5 * 1600 cow-months = 2400 cow-months.

Step 3: Calculate the number of cows Radha can put in the pasture. Radha has the pasture for 4 months, so the number of cows she can put in the pasture is her total cost divided by the number of months = 2400 cow-months / 4 months = 600 cows.

So, Radha can put 600 cows in the pasture for the remaining 4 months.

This problem has been solved

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