Question 1001684
b = number of boys
g = number of girls.


b + g = 35000


1.06b + 1.04g = 36760


1.06b is the number of boys plus 6% times the number of boys.
1.04g is the number of girls plus 4% times the number of girls.


6% is equal to 6/100 = .06
4% is equal to 4/100 = .04


you have 2 equations that need to be solved simultaneously.


they are:


b + g = 35000
1.06b + 1.04g = 36760


from the first equation, solve for b to get b = 35000 - g
replace b with 35000 - g in the second equation to get:


1.06*(35000 - g) + 1.04g = 36760
remove parentheses to get:
1.06*35000 - 1.06g + 1.04g = 36760
simplify to get:
37100 - .02g = 36760
subtract 37100 from both sides of the equation to get:
-.02g = 36760 - 37100
simplify to get:
-.02g = -340
divide both sides of the equation by -.02 to get:
g = -340 / -.02 = 17000


since b + g = 35000, then b must be equal to 35000 - 17000 = 18000


b = 18000
g = 17000
b + g = 18000 + 17000 = 35000 - correct.


1.06b + 1.04g = 19080 + 17680 = 36760 - correct.


solution is confirmed as good.


number of boys is 18000 and number of girls is 17000.