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Adwin has goats and sheep in the ratio 2:4. The number of sheep is 26 more than the goats. How many animals remained after 28 sheep and 23 goats died of a disease?

Question

Adwin has goats and sheep in the ratio 2:4. The number of sheep is 26 more than the goats. How many animals remained after 28 sheep and 23 goats died of a disease?

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Solution

To solve this problem, we first need to establish the relationship between the number of goats and sheep Adwin has.

Step 1: We know that the ratio of goats to sheep is 2:4, which simplifies to 1:2. This means that for every goat, there are two sheep.

Step 2: We also know that the number of sheep is 26 more than the number of goats.

Step 3: Let's denote the number of goats as x. According to the ratio, the number of sheep would then be 2x.

Step 4: From the information given, we know that 2x (the number of sheep) is 26 more than x (the number of goats). So we can set up the equation 2x = x + 26.

Step 5: Solving this equation for x gives us x = 26. So, Adwin has 26 goats.

Step 6: Substituting x = 26 into the equation 2x gives us the number of sheep, which is 2*26 = 52.

Step 7: Therefore, Adwin initially has 26 goats + 52 sheep = 78 animals.

Step 8: After 28 sheep and 23 goats died, the number of animals remaining is 78 - 28 - 23 = 27.

So, 27 animals remained after 28 sheep and 23 goats died of a disease.

This problem has been solved

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