The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How many more boys than girls are there?

hello : 27 boys and 9 girls

Step-by-step explanation:

x : number of boys

y : number of number of

x/y = 3 ... (1)

x+y = 36 ... (2)

by (1) : x = 3y

put the value of x in (2) : 3y + y = 36

4y = 36

divid by 4 : y = 9

put y = 9 in (2) : x + 9 = 36

x+9 - 9 = 36 - 9

x = 27

well, if you add the numbers 3+1 you get 4. from this we know that there are 4 units total. 36:4=9 so each unit is equal to 9. we can multiply 9•3 to get 27. there are 27 boys. we can multiply 9•1 to get 9 girls. subtracting 9 from 27, we get 18 more boys that girls.