Question
Download Solution PDFThe average age of boys is twice the number of girls in a class. If the ratio of boys and girls in a class of 36 is 5 ∶ 1 respectively, what is the total ages (in years) of the all boys in class?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The total number of students in the class = 36.
The ratio of boys to girls in the class = 5 ∶ 1.
The average age of boys is twice the number of girls in the class.
Formula Used:
Total age of boys = (Average age of boys) × (Number of boys)
Calculation:
Let the number of boys be B and the number of girls be G.
The ratio of boys and girls is 5 ∶ 1.
Therefore, the number of boys is:
B = (5 / 6) × 36 = 30
Now, the number of girls is:
G = (1 / 6) × 36 = 6
Let the average age of boys be A.
According to the given condition,
the average age of boys is twice the number of girls, so:
A = 2 × G = 2 × 6 = 12 years
The total age of boys = Average age of boys × Number of boys = 12 × 30 = 360 years
The total age of all the boys in the class is 360 years.
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