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This is the classic "Four Fours" problem. Combine the four fours as 4 / 4 + 4 * 4 with the operations taking place from left to right. The first 4 divided by the second produces 1. Add the third 4 to produce 5. Multiply by the fourth 4 results in 20.
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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