Banknotes 23691

Dad paid for the computer with banknotes worth 500 and 1,000 CZK. The number of banknotes was 56, and the price of the computer was CZK 44,000. How many banknotes did he have?

Correct answer:

a =  24
b =  32

Step-by-step explanation:


a+b=56
500a+1000b=44000

a+b=56
500·a+1000·b=44000

a+b = 56
500a+1000b = 44000

Pivot: Row 1 ↔ Row 2
500a+1000b = 44000
a+b = 56

Row 2 - 1/500 · Row 1 → Row 2
500a+1000b = 44000
-b = -32


b = -32/-1 = 32
a = 44000-1000b/500 = 44000-1000 · 32/500 = 24

a = 24
b = 32

Our linear equations calculator calculates it.



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