Hundred-euro 8140

Mr. Novák had one hundred and fifty euro bills in his wallet. There were 21 in total, and their total value was 1550 euros. How many hundred-euro and how many fifty-euro notes did Mr. Novák have in his wallet?

Correct answer:

a =  10
b =  11

Step-by-step explanation:


a+b=21
100a+50b = 1550

a+b=21
100·a+50·b = 1550

a+b = 21
100a+50b = 1550

Pivot: Row 1 ↔ Row 2
100a+50b = 1550
a+b = 21

Row 2 - 1/100 · Row 1 → Row 2
100a+50b = 1550
0.5b = 5.5


b = 5.5/0.5 = 11
a = 1550-50b/100 = 1550-50 · 11/100 = 10

a = 10
b = 11

Our linear equations calculator calculates it.



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