In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys ...

In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.

Answer Details

Let the average score for the boys be y. Then the total score for the class is: 10y (boys' total score) + 15x (girls' total score) = 25(90) (total class score) Simplifying, we get: 10y + 15x = 2250 Dividing by 10, we get: y + \(\frac{3}{2}\)x = 225 Subtracting \(\frac{3}{2}\)x from both sides, we get: y = 225 - \(\frac{3}{2}\)x Therefore, the average score for the boys in terms of x is \(225 - \frac{3}{2}x\). So the correct answer is.