Two-hundred-crown 5025

Mr. Novák has 20 banknotes in his wallet and 6100 crowns. Some banknotes have a value of CZK 200. Some have a value of CZK 500. How many two-hundred-crown bills does Mr. Novák have in his wallet?

Correct answer:

n =  13

Step-by-step explanation:


6100 = 200 n + 500 p
n+p=20

6100 = 200·n + 500·p
n+p=20

200n+500p = 6100
n+p = 20

Row 2 - 1/200 · Row 1 → Row 2
200n+500p = 6100
-1.5p = -10.5


p = -10.5/-1.5 = 7
n = 6100-500p/200 = 6100-500 · 7/200 = 13

n = 13
p = 7

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