The average weight of 45 children is 8 kg. Out of these 45 children, exactly 30 have weights that are 8 kg or less. If all the children’s weights are in integral kilograms, what is the highest possible value for the average weight (in kg) of these 30 children?1) 72) 7.253) 7.54) 7.75
Question
The average weight of 45 children is 8 kg. Out of these 45 children, exactly 30 have weights that are 8 kg or less. If all the children’s weights are in integral kilograms, what is the highest possible value for the average weight (in kg) of these 30 children?1) 72) 7.253) 7.54) 7.75
Solution
To find the highest possible average weight for the 30 children, we need to first find the total weight of all 45 children.
Step 1: Multiply the average weight by the total number of children to get the total weight. 45 children * 8 kg/child = 360 kg
Step 2: To maximize the average weight of the 30 children, we need to minimize the weight of the remaining 15 children. Since weights are in integral kilograms, the minimum weight for a child is 1 kg.
15 children * 1 kg/child = 15 kg
Step 3: Subtract the total weight of the 15 children from the total weight of all 45 children to get the total weight of the 30 children.
360 kg - 15 kg = 345 kg
Step 4: Divide the total weight of the 30 children by the number of children to get the average weight.
345 kg / 30 children = 11.5 kg
So, the highest possible average weight for the 30 children is 11.5 kg. However, this option is not given in the choices. It seems like there might be a mistake in the question or the answer choices.
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