There are a total of 193 member states (countries) in the united nations as of 2014. The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?

Question

Remington Michael

Mathematics

6 November, 14:20

There are a total of 193 member states (countries) in the united nations as of 2014. The member states are divided into regional groups. The asia group has one less member than the africa group. The european groups are smaller: eastern europe has four less than half the africa group. The western europe group (which includes the united states) has 6 more than eastern europe. The latin america group has 21. Less than the africa group. One country (kiribati, in the central pacific ocean) is in no regional group at all. How many countries are in each of the five groups?

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Answers (1)

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Atticus · Answer 1

Africa = 54 countries

Asia = 53 countries

Eastern Europe = 23 countries

Western Europe = 29 countries

Latin America = 33 countries

Step-by-step explanation:

193 member states - Kiribati = 192 countries

Asia = Africa - 1

Eastern Europe = 0.5Africa - 4

Western Europe = 0.5Africa + 2

Latin America = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5 (54) - 4 = 23

Western Europe = 0.5 (54) + 2 = 29

Latin America = 54 - 21 = 33