Vítovcová 7776

Ms. Vítovcová and Ms. Kupcová went to Paris for a few days. Mrs. Vítovcová exchanged 30 marks and 100 francs at the exchange office and paid a total of 1,200 CZK. Ms. Kupcová paid a total of CZK 1,400 for 10 marks and 200 francs. How many crowns was the marka sold for, and how many francs?

Correct answer:

f =  6
m =  20

Step-by-step explanation:


30m + 100f = 1200
10m + 200f = 1400

30·m + 100·f = 1200
10·m + 200·f = 1400

100f+30m = 1200
200f+10m = 1400

Pivot: Row 1 ↔ Row 2
200f+10m = 1400
100f+30m = 1200

Row 2 - 100/200 · Row 1 → Row 2
200f+10m = 1400
25m = 500


m = 500/25 = 20
f = 1400-10m/200 = 1400-10 · 20/200 = 6

f = 6
m = 20

Our linear equations calculator calculates it.



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