Beet field workers

Three times more women than men work in the beet field. Eight men and 8 women load beets. The rest of the workforce, in which there are five times more women than men, cuts beets. How many men and how many women work in the fields?

Final Answer:

m =  16
z =  48

Step-by-step explanation:


z=3m
z-8=5(m-8)

z=3·m
z-8=5·(m-8)

3m-z = 0
5m-z = 32

Pivot: Row 1 ↔ Row 2
5m-z = 32
3m-z = 0

Row 2 - 3/5 · Row 1 → Row 2
5m-z = 32
-0.4z = -19.2


z = -19.2/-0.4 = 48
m = 32+z/5 = 32+48/5 = 16

m = 16
z = 48

Our linear equations calculator calculates it.



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