The average marks (out of 100) of boys and girls in an examination are 75 and 80, respectively. If the average marks of all the students in that examination are 78. Find the ratio of the number of boys to the number of girls.
Question:
The average marks (out of 100) of boys and girls in an examination are 75 and 80, respectively. If the average marks of all the students in that examination are 78. Find the ratio of the number of boys to the number of girls.
The average marks (out of 100) of boys and girls in an examination are 75 and 80, respectively. If the average marks of all the students in that examination are 78. Find the ratio of the number of boys to the number of girls.
Options
Answer: (1) 2:3
Explanation:
Let boys:girls = x:y. (75x+80y)/(x+y) = 78. Solving: 75x+80y = 78x+78y, so 2y = 3x. Ratio = 2:3
Explanation:
Let boys:girls = x:y. (75x+80y)/(x+y) = 78. Solving: 75x+80y = 78x+78y, so 2y = 3x. Ratio = 2:3
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