Question

I need 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

Answer 1

Answer: 1380 females and 1242 males

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Step-by-step 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.