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Total population 5000,10% increase in men and 15% increase in women, now population become 5600,what were number of men ??/

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Use simultaneous equations, with x = # of men and y = # of women:
x + y = 5000 --> convert to x = 5000 - y 1.1x + 1.15y = 5600
1.1 (5000 - y) + 1.15y = 5600 5500 - 1.1y + 1.15y = 5600 .05y = 100 y = 2000 plug y = 2000 into x + y = 5000
therefore x = 3000

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