The average score obtained by 64 boys and a certain number of girls
The average score obtained by 64 boys and a certain number of girls in a test is 59. 15, while the average score obtained by the boys is 55.25. If the average score of the girls is 68.75, then how many girls appeared for the test?
एक परीक्षा में 64 लड़कों और एक निश्चित संख्या में लड़कियों द्वारा प्राप्त औसत का 59.15 है, जबकि लड़कों द्वारा प्राप्त औसत अंक 55.25 है।यदि लड़कियों का औसत अंक 68.75 है,तो कितनी लड़कियों ने परीक्षा दी?
Detailed Solution & Logic
Correct Answer:
26
Let number of girls = $ x $
$ 64 \times 55.25 = 3536 $
$ x \times 68.75 = 68.75x $
$ 59.15(64 + x) = 3785.6 + 59.15x $
Now the equation:
$ 3536 + 68.75x = 3785.6 + 59.15x $
$ (68.75 - 59.15)x = 3785.6 - 3536 $
$ 9.6x = 249.6 $
$ x = \frac{249.6}{9.6} = 26 $
Answer = 26
Similar Practice Questions
The average age of 48 students of a class is 22 years.
The average age of 48 students of a class is 22 years. If the age...
The average of 5 different numbers is 24. If the smallest number is 15, what is the average of the remaining four numbers?
The average of 5 different numbers is 24. If the smallest number is 15, what...
The average of 6 numbers is 45. The average of the first four numbers is 40, and the fifth number is 50. What is the sixth number?
The average of 6 numbers is 45. The average of the first four numbers is...
The average age of 30 students in a group is 18 years.
The average age of 30 students in a group is 18 years. When the teacher’s...
The average age of 39 students of a class is 39 years.
The average age of 39 students of a class is 39 years. If the age...
In a 100-marks test, the average of marks scored by 50 students
In a 100-marks test, the average of marks scored by 50 students was found to...
The average of first 160 even numbers is
The average of first 160 even numbers is पहली 160 सम संख्याओं का औसत क्या...