Ineed to know how to solve this and what's the reason you chose that way to solve it? is there any other way to solve this

1380 females and 1242 males

Explanation:

Let x = number of males, y = number of females

The first equation is x/y = 9/10 since the ratio of males to females is 9 to 10

Cross multiply and solve for y

x/y = 9/10

10x = 9y

9y = 10x

y = 10x/9 ... we'll use this equation later below

Another equation to set up is x+y = 2622 since there are a total of 2622 students

x+y = 2622

x+10x/9 = 2622 ... replace y with 10x/9

9*(x+10x/9) = 9*2622  ... multiply both sides by 9

9x+10x = 23598 ... notice how the fraction is canceled out

19x = 23598

x = 23598/19

x = 1242

So there are 1242 male students

y = 10x/9

y = 10*1242/9 replace x with 1242

y = 12420/9

y = 1380

and there are 1380 female students

Note how x/y = 1242/1380 = 0.9 which is equal to 9/10. This helps confirm we have the right x and y values. More confirmation is that x+y = 1242+1380 = 2622.

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step-by-step explanation:

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step-by-step explanation: