Combined, there are 184

​Asians, Africans,​ Europeans, and Americans in a village.The number of Asians exceeds the number of Africans and Europeans by 61. The difference between the number of Europeans and Americans is 11. If the number of Africans is​ doubled, their population exceeds the number of Europeans and Americans by 15.
Determine the number of​ Asians, Africans,​ Europeans, and Americans in this village.

So how many Asians:
Africans:
Europeans:
Americans in Village:

If i create this formula,
Assign letters to each race. These are your variables.
Asians = A
Africans = F
Europeans = E
Americans = M

A + F + E + M = 184
Is this a good way to start the problem?

You are told the number of Asians exceeds the number of Africans and Europeans by 61.

Therefore A - 61 = F + E

Kind of not sure where to go from here.

1 answer

Yes, that is the start. Write all four equations in that matrix form.
A + F + E + M = 184
A - F - E + 0M = 61
0A + 0F + E - M = 11
2A + 0F -E - M = 15

There are several methods, including row reduction.
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