The city

In the city, 2/4 of women are married to 3/4 of men. What percentage of townspeople is single (not married)?

Correct answer:

p =  60 %

Step-by-step explanation:


m+z = 100
2/4 z = 3/4 m
p = 2/4 z + 3/4m

m+z = 100
2/4·z = 3/4·m
p = 2/4·z + 3/4·m

m+z = 100
3m-2z = 0
3m-4p+2z = 0

Pivot: Row 1 ↔ Row 2
3m-2z = 0
m+z = 100
3m-4p+2z = 0

Row 2 - 1/3 · Row 1 → Row 2
3m-2z = 0
1.667z = 100
3m-4p+2z = 0

Row 3 - Row 1 → Row 3
3m-2z = 0
1.667z = 100
-4p+4z = 0

Pivot: Row 2 ↔ Row 3
3m-2z = 0
-4p+4z = 0
1.667z = 100


z = 100/1.66666667 = 60
p = 0-4z/-4 = 0-4 · 60/-4 = 60
m = 0+2z/3 = 0+2 · 60/3 = 40

m = 40
p = 60
z = 60

Our linear equations calculator calculates it.



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