Select the correct answerThere are 40 students in a class whose average weight is 56. 25kg.Among these 40 students 25 are boys and 15 are girls. The average weight of 25 boys is 6.8 kg more than the average weight of 15 girls. What is the average weight of 15 girls?Options5255465879
Question
Select the correct answerThere are 40 students in a class whose average weight is 56. 25kg.Among these 40 students 25 are boys and 15 are girls. The average weight of 25 boys is 6.8 kg more than the average weight of 15 girls. What is the average weight of 15 girls?Options5255465879
Solution
Let's solve this step by step:
-
The total weight of all 40 students is 40 * 56.25 kg = 2250 kg.
-
Let's denote the average weight of the girls as G. Therefore, the average weight of the boys is G + 6.8 kg.
-
The total weight of the boys is 25 * (G + 6.8) kg and the total weight of the girls is 15 * G kg.
-
Since the total weight of all students is the sum of the total weight of the boys and the girls, we can write the equation: 2250 = 25 * (G + 6.8) + 15 * G.
-
Simplifying this equation gives: 2250 = 25G + 170 + 15G.
-
Combining like terms gives: 2250 = 40G + 170.
-
Subtracting 170 from both sides gives: 2080 = 40G.
-
Dividing both sides by 40 gives: G = 52 kg.
So, the average weight of the 15 girls is 52 kg.
Similar Questions
Select the correct answerThe average weight of a group of 50 girls was calculated as 58 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual weight was 65 kg. What is the actual average weight of the group of the 50 girls?Options58.657.4None of these58.457.6
The ratio of the number of boys and girls in a class is 5 : 3. If the average weight of all the boys is 63 kg, whereas that of the girls is 47 kg, find the average weight (in kg) of all the students in the class.
In a primary school the average weight of male students is 65.9 kgs and the average weight of female students is 57 kg.If the average weight of all the students is 60.3kg and the number of male students in the school is 66.What is the number of female students in the school?11411266None of these
The average weight of N boys in a Group is 36 kg.If 20 other boys whose average weight is 30 kg join the the group, the average weight of the group would be the same as what it would be if 5 boys whose average weight is 40 kg leave the group. Find N.a.20b.15c.10d.25
The average weight of 30 students is 45 kg. 15 students whose average weight is 48 kg left the class and 10 students whose average weight is 50 kg joined the class, and then find the new average weight of the students in the class.a45.2b45.4c45.6d45.8
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.