a = Children
b = men
c = women
a + b + c = 17 222
b + c = 9142
a + c = 13 201
To find a we will minus b + c from 17 222.
a + b + c = 17 222
a + (9142) = 17 222
a + 9142 (- 9142) = 17 222 (- 9142)
a = 8080
To find c we will take the equation " a + c = 13 201 " and substitute a to "a = 8080"
a + c = 13 201
(8080) + c = 13 201
8080 (-8080) + c = 13 201 (-8080)
c = 5121
And then to find b we will take the equation " a + b + c= 17 222 " and substitute 'a' and 'c' for their solved numbers.
a + b + c = 17 222
(8080) + b + (5121) = 17 222
b + (13201) = 17 222
b + 13201 (-13 201) = 17 222 (-13 201)
b = 4021
And to check answer we will substitute all variable for their found answers.
a + b + c = 17 222
(8080) + (4021) + (5121) = 17 222
Children = 8080
Men = 4021
Women = 5121
Tada! haha
Hope that helps. For these questions, it's a good idea to write them out as I did in the beginning to get a feel for them....
a + b + c = 17 222
b + c = 9142
a + c = 13 201
and then try to isolate and solve one variable and then go from there. :D
