2x + 2(2x+3) = 360
2x +4x +6 = 360
6x = 360 - 6
6x = 354
x = 354/6
x = 59
answer: x = 59
Solution
The table below is the required sample space of the to fair die
From the above table
The sample space contain 36 outcomes
Event A: The sum is greater than 9
we will look at the table and count all the elements that are greater than 9
There are 6 elements (they are 10, 10, 10, 11, 11, 12 from the table)
The probability for event A will be

P(A) = 1/6
Event B: The sum is an even number.
We will look at the table and count the number of elements that are even
There are 18 elements (notice that there are 3 even number on each of the 6 rows of the table)
The probability for event B will be

p(B) = 1/2
Alright so turn 3/4 into a decimal.
3/4 =.75
We need to set up an equation. To do that are need to give boys and girls their own variables.
Girls= X
And since there is 3/4 as many boys
Boys=. 75X
Now we know the sum of boys and girls equals 35
X+.75X=35
X+.75X=1.75X
Now we have 1.75X=35
Divide by 1.75 and get
20=X
Now plug 20 into the equations got from before.
Boys =. 75*X = 20 *. 75 = 15
Girls = X =20
Your Answer:
15 boys
20 girls
You can check
20+15=35
15/20=3/4