Spain has a population of 2015. The men and women together number 1007, and the children together number 1537. How many children are there? How many women are there? How many men are there?
m+w+c = 2015
m+w = 1007, from this we would know that c = 1008
but then you say: the children together number 1537
What does that mean? together with what?
check your typing, the question is flawed
Edited!!!! Spain has a population of 2015. The men and women together number is 1007, and the women and children together number is 1537. How many children are there? How many women are there? How many men are there?
Going with your original total:
m+w+c = 2015
m+w = 1007, from this we would know that c = 1008
women and children together number is 1537, but c = 1008
so w = 529
back to start: m+w+c = 2015
m+529+1008 = 2015
m = 478
To solve this problem, we can set up a system of equations. Let's define the following variables:
M = number of men
W = number of women
C = number of children
We're given that the total population of Spain is 2015, so we can write our first equation as:
M + W + C = 2015 Equation 1
We're also given that the men and women together number 1007, so we can write our second equation as:
M + W = 1007 Equation 2
Finally, we're given that the children together number 1537, so we can write our third equation as:
C = 1537 Equation 3
To solve for the number of children (C), we can substitute equations 2 and 3 into equation 1:
(M + W) + C = 2015
1007 + 1537 = 2015
2544 = 2015 + C
C = 2544 - 2015
C = 529
Therefore, there are 529 children in Spain.
To find the number of women (W), we can substitute the value of C back into equation 2:
M + W = 1007
M + W = 1007 - C
M + W = 1007 - 529
M + W = 478
Since M + W = 478, it means that if the men and women together numbered 1007, then the number of women (W) must be 478.
To find the number of men (M), we can substitute the value of W back into equation 2:
M + W = 1007
M + 478 = 1007
M = 1007 - 478
M = 529
Therefore, there are 529 men in Spain.
In conclusion:
- The number of children is 529.
- The number of women is 478.
- The number of men is 529.