Question 48

In a class, the respective ratio between the number of boys and the number of girls is 3:1. A test was conducted, wherein the average score of the boys was 73, while that of the entire class was 71. What was the average score of the girls?

Solution

Let number of boys = $$3x$$

=> Number of girls = $$x$$

Let average score of girls = $$y$$

Acc. to ques,

=> $$\frac{(73 \times 3x) + (y \times x)}{3x + x} = 71$$

=> $$\frac{x (219 + y)}{4x} = 71$$

=> $$219 + y = 71 \times 4 = 284$$

=> $$y = 284 - 219 = 65$$

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