Banknotes Value Puzzle

George has only €5 and €10 banknotes in his wallet, with a total value of €40. How many banknotes does he have in total, given that there are six times fewer €10 notes than €5 notes?

Final Answer:

a =  6
b =  1

Step-by-step explanation:


5a + 10b = 40
b = a/6

5·a + 10·b = 40
b = a/6

5a+10b = 40
a-6b = 0

Row 2 - 1/5 · Row 1 → Row 2
5a+10b = 40
-8b = -8


b = -8/-8 = 1
a = 40-10b/5 = 40-10 · 1/5 = 6

a = 6
b = 1

Our linear equations calculator calculates it.



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