The average weight of 6 women is increased by 9 kg when one of them whose weight is 80 kg is replaced by another woman. What is the weight of the new women (in kg)?
Question
The average weight of 6 women is increased by 9 kg when one of them whose weight is 80 kg is replaced by another woman. What is the weight of the new women (in kg)?
Solution
Step 1: Understand the problem. The average weight of 6 women increased by 9 kg when one woman who weighed 80 kg was replaced by another woman. We need to find the weight of the new woman.
Step 2: Recall that the average is calculated by dividing the total sum by the number of items. In this case, the total weight of the 6 women increased by 9 kg each, which means the total increase is 6 * 9 = 54 kg.
Step 3: The original weight of the woman who was replaced is 80 kg. Since the total weight increased by 54 kg, the weight of the new woman must be 80 kg + 54 kg = 134 kg.
So, the weight of the new woman is 134 kg.
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