Couple income

Husband and wife earn 6600 euros together. The husband earns 20% more than the wife. What is the wife's income?

Final Answer:

x =  3000 eur

Step-by-step explanation:


x+y= 6600
y = x + 20/100 x

x+y= 6600
y = x + 20/100·x

x+y = 6600
120x-100y = 0

Pivot: Row 1 ↔ Row 2
120x-100y = 0
x+y = 6600

Row 2 - 1/120 · Row 1 → Row 2
120x-100y = 0
1.83y = 6600


y = 6600/1.83333333 = 3600
x = 0+100y/120 = 0+100 · 3600/120 = 3000

x = 3000
y = 3600

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