The average age of all the boys in a certain class is 15.4 years, while that of girls in the same class is 14.4 years. If the average age of all the students in the class is 14.8 years, what is the ratio of boys to girls in the class?6 Mark For ReviewA) 1:3B) 1:2C) 2:3D) 2:1
Question
The average age of all the boys in a certain class is 15.4 years, while that of girls in the same class is 14.4 years. If the average age of all the students in the class is 14.8 years, what is the ratio of boys to girls in the class?6 Mark For ReviewA) 1:3B) 1:2C) 2:3D) 2:1
Solution
Let's denote the number of boys as B and the number of girls as G.
We know that the average age of all students is 14.8 years, so the total age of all students is 14.8(B + G).
We also know that the total age of all boys is 15.4B and the total age of all girls is 14.4G.
Therefore, we can set up the following equation:
15.4B + 14.4G = 14.8(B + G)
Solving this equation for B/G (the ratio of boys to girls) gives us:
B/G = (14.8G - 14.4G) / (15.4 - 14.8)
B/G = 0.4G / 0.6
B/G = 2/3
So, the ratio of boys to girls in the class is 2:3, which corresponds to answer C.
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