Several number of cows on a farm consume the food in 150 days. If we reduce the number of cows by 10, then the food lasts for 10 more days. How many cows were there on the farm in the beginning?
Answer: 160
Explanation
The total food required for x cows over 150 days is:
Total food=x×150
When the number of cows is reduced by 10, i.e., x−10, the food lasts for 10 more days, meaning it lasts for 160 days. So, the total food required for x-10 cows over 160 days is:
Total food=(x−10)×160
Since the total amount of food remains constant in both cases, we can equate the two expressions for total food: x
x×150=(x−10)×160
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