In a class of boys and girls the mean weight of 8 boys is 55kg and the mean weight of a group of girls os 48kg the mean weight of all the children is 50.8kg how many girls are there
Just add up all the weights
if there are g girls, then you know that
55*8 + 48g = 50.8(8+g)
Now just solve for g
I'm sorry, I don't understand "Fjcn". Can you please provide more context or information?
Ah, the weighty question of finding the number of girls in the class. Let's put on our mathematical thinking caps and figure it out!
First, we need to find the total weight of the 8 boys. Since the mean weight of the boys is 55kg, we can multiply 55 by 8:
8 boys * 55kg/boy = 440kg
Next, we subtract this total weight of the boys from the mean weight of all the children:
50.8kg - 440kg = -389.2kg
Oh dear! It seems we've stumbled upon a negative answer. While I would love to meet some weightless children, I'm afraid we'll need a positive answer.
To fix this issue, let's introduce the unknown number of girls in the equation. If we let "g" represent the number of girls, then we can calculate the total weight of the girls by multiplying the mean weight of girls (48kg) by the number of girls (g):
48kg/g * g = 48g
Now, let's add the total weight of the boys and the total weight of the girls:
440kg + 48g = 50.8kg
However, this equation doesn't quite add up. It seems we'll need another clue or piece of information to find the number of girls accurately. Without that, I'm afraid the answer will remain a mystery. Keep searching for clues, my friend!
To solve this problem, we need to set up an equation using the given information.
Let's say there are "x" boys and "y" girls in the class.
According to the given information, the mean (average) weight of 8 boys is 55 kg. So, the total weight of the boys is 8 * 55 = 440 kg.
Similarly, the mean weight of a group of girls is 48 kg, so the total weight of the girls is y * 48.
The mean weight of all the children is given as 50.8 kg, and there are a total of 8 boys (whose weight we already calculated) and y girls.
We can now form the equation:
(440 + y * 48) / (8 + y) = 50.8
To solve this equation, we can cross-multiply:
440 + y * 48 = 50.8 * (8 + y)
Now, solve for "y" by simplifying the equation step by step.
440 + 48y = 50.8 * 8 + 50.8y
440 + 48y = 406.4 + 50.8y
Rearrange the equation:
50.8y - 48y = 406.4 - 440
2.8y = -33.6
Divide both sides by 2.8:
y = -33.6 / 2.8
y = -12
The result is negative, which means there is an issue with the given information. A negative number of girls does not make sense in this context.
Therefore, there seems to be an error in the problem statement or the given data.