Question

Some amount is equally distributed in certain number of students . Each would get rupees 3 less if 9 students were more and each would get rupess 9 more if 15 students were less . Find the total amount distributed​

Answer 1

Answer:

There are 40 students and amount of money distributed among each is ₹10 and total Amount of Money is ₹400.

Step-by-step explanation:

Let number of students be 'x'.

Also Let Amount each student will get be 'y'.

Total Amount will be number of students multiplied by Amount each student will get.

framing equation we get;

Total Amount =

Now Given:

each would get rs.2 less if 10 students were more

framing in equation for we get;

Now by Using Multiplication property we get:

Subtracting both side by xy and adding both side by 20 we get;

Now Dividing both side by 2 we get;

Also Given:

each would get rs.6 more of 15 student were less

Now by Using Multiplication property we get:

Subtracting both side by xy and adding both side by 90 we get;

Now Dividing both side by 3 we get;

Now adding equation 1 and equation 2 we get;

Now Substituting the value of 'x' in equation we get;

Total Amount =

Hence we can say, There are 40 students and amount of money distributed among each is ₹10 and total Amount of Money is ₹400.