In Little Marsden, the population is 17,222. The men and women together total 9,142, and the women and children together total 13,201.

Fill in the blanks:

There are ______ Women
There are ______ Men
There are ______ Children

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

Answered by D0NNY | 2024-06-10

M + W = 9142 W + C = 13201 Population: 17222 17222 - 13201 (W + C) = 4021 4021 = Men
M + W = 9142 so 9142 - 4021 = 5121 = Women
And W + C = 13201 so 13201 - 5121 = 8080
Check: 8080 + 5121 + 4021 = 17222 Happy to Help!

Answered by Dannymal | 2024-06-10

There are 5,121 women, 4,021 men, and 8,080 children in Little Marsden. The values were determined using three equations based on the total population and combinations of men, women, and children. The solution involved isolating each variable step-by-step to find the correct numbers for each group.
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Answered by D0NNY | 2024-12-24