Question

The ratio of the number of students in three classes a,b and c is 3:7:8. if ten students, are transferred from c to b, b will have 80 students. find the total number of students in the three classes

Answer 1

Hope you get your answer.

Answer 2

Answer:  The required number of students in the three classes is 180.

Step-by-step explanation:  Given that the ratio of the number of students in three classes A,B and C is 3 : 7 : 8. if ten students, are transferred from C to B, B will have 80 students.

We are to find the number of students in the three classes.

Let the number of students in classes A, B and C be represented by 3x, 7x and 8x respectively.

According to the given information, we have

$7x+10=80\\\\\Rightarrow 7x=80-10\\\\\Rightarrow 7x=70\\\\\Rightarrow x=\dfrac{70}{7}\\\\\Rightarrow x=10.$

Therefore, the total number of students in the three classes is given by

$3x+7x+80=18x=18\times10=180.$

Thus, the required number of students in the three classes is 180.