Question

Of the final grade recieved by the students in a certain math course, 1/5 are a's, 1/4 are b's, 1/2 are c's and the remaining 10 grades are d's. what is the number of students in the course

Answer 1

Step-by-step explanation:

Let the total no. of students be X.

Now,

A/Q,

No. of students received A's grade be = 1/5 of X = X/5

No. of students received B's grade be = 1/4 of X= X/4

No. of students received C's grade be = 1/2 of X= X/2

No. of students received D's grade be = 10 (given)

Now,

Total no. of students in class will be =X = X/5+X/4+X/ 2+10

= 5x/20 + 4x/20 + 10x/20 +200/20

X = 19x/20 + 200/20

20x = 19x + 200

20x - 19x = 200

X = 200.

Hence,

The total no. of students in class is 200.