There are 8 more students in a math class than in a history class. if the ratio of the students in the math class to the history class students is 9 : 7, how many students are in math class?

Let, the number of students in history class be x.

Given there are 8 more students are in a math class than in a history class.

So, the number of students in math class = (x+8)

Given, ratio of the students in the math class to the history class = 9:7

So we can write

(x+8)/x = 9/7

To solve this for x, first we have to cross multiply.

7(x+8) = 9x

Now we have to expand the left side by dustributing 7.

7x+56 = 9x

To get x, we have to take x terms together. So we will move 7x to the right side by subtracting 7x from both sides.

7x-7x+56 = 9x-7x

0+56 = 2x

56 = 2x

2x= 56

We can get x by dividing 2 to both sides now.

2x/2 = 56/2

x = 28

So we have got the number of students in history class = 28

Therefore, the number of students in maths class = 28+8 = 36

So 36 is the required answer here.

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