Sister money sharing

The two sisters are to share CZK 600. The younger should get one-eighth less than the older. How much CZK should each of the nurses receive?

Final Answer:

a =  280
b =  320

Step-by-step explanation:


a+b=600
a =b -b/8

a+b = 600
8a-7b = 0

Pivot: Row 1 ↔ Row 2
8a-7b = 0
a+b = 600

Row 2 - 1/8 · Row 1 → Row 2
8a-7b = 0
1.88b = 600


b = 600/1.875 = 320
a = 0+7b/8 = 0+7 · 320/8 = 280

a = 280
b = 320

Our linear equations calculator calculates it.



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