In a class test, the mean marks of boys and girls are respectively 42 and 45.If the mean marks of boys and girls are 44, then find the ratio of the number of boys to the number of girls.
Answers
Answer:
Ratio of the number of boys to the number of girls is 1:2
Step-by-step explanation:
Let 'x' be the number of boys and 'y' be the number of girls.
To find the total marks
The total marks of boys = 42x
The total marks of girls = 45y
Total number of boys and girls = x + y
To find the ratio
The total marks of boys and girls = 44(x + y)
Then we can write
44(x + y) = 42x + 45y
44x + 44y = 42x + 45y
2x = y
x/y = 1/2
Therefore the ratio of the number of boys to the number of girls is 1:2
1:2
Given In a class test, the mean marks of boys and girls are respectively 42 and 45.If the mean marks of boys and girls are 44, then find the ratio of the number of boys to the number of girls.
Marks scored by boys = 42 and marks scored by girls = 45
So sum of marks of boys / B = 42
Marks scored by boys = 42 B
So sum of marks of girls / G = 45
Marks scored by girls = 45 G
Sum of marks scored by both boys and girls / B + G = 44
42 B + 45 G / B + G = 44
42 B + 45 G = 44 B + 44 G
45 G - 44 G = 44 B - 42 B
G = 2 B
B / G = 1 / 2