Crown coins

Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns?

Correct answer:

a =  5
b =  27

Step-by-step explanation:


a+b = 32
2a+5b = 145

a+b = 32
2·a+5·b = 145

a+b = 32
2a+5b = 145

Pivot: Row 1 ↔ Row 2
2a+5b = 145
a+b = 32

Row 2 - 1/2 · Row 1 → Row 2
2a+5b = 145
-1.5b = -40.5


b = -40.5/-1.5 = 27
a = 145-5b/2 = 145-5 · 27/2 = 5

a = 5
b = 27

Our linear equations calculator calculates it.



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