Denominations 82479

CZK 8,000 was paid out in fifty pieces of banknotes in denominations of CZK 100 and CZK 200. How many were there?

Correct answer:

a =  20
b =  30

Step-by-step explanation:


a+b=50
8000 = 100a+200b

a+b=50
8000 = 100·a+200·b

a+b = 50
100a+200b = 8000

Pivot: Row 1 ↔ Row 2
100a+200b = 8000
a+b = 50

Row 2 - 1/100 · Row 1 → Row 2
100a+200b = 8000
-b = -30


b = -30/-1 = 30
a = 8000-200b/100 = 8000-200 · 30/100 = 20

a = 20
b = 30

Our linear equations calculator calculates it.



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