Banknotes 27361

We have the amount of 1,250 euros in banknotes of 100 and 50 euros. We have a total of 17 banknotes. How many are there?

Correct answer:

a =  8
b =  9

Step-by-step explanation:


a+b=17
100a+50b=1250

a+b=17
100·a+50·b=1250

a+b = 17
100a+50b = 1250

Pivot: Row 1 ↔ Row 2
100a+50b = 1250
a+b = 17

Row 2 - 1/100 · Row 1 → Row 2
100a+50b = 1250
0.5b = 4.5


b = 4.5/0.5 = 9
a = 1250-50b/100 = 1250-50 · 9/100 = 8

a = 8
b = 9

Our linear equations calculator calculates it.



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