Coins

The boy collected coins with value 5 CZK and 2 CZK when he had 50 pieces saved 190 CZK. How many he has each type of coin?

Correct answer:

a =  30
b =  20

Step-by-step explanation:


a+b=50
190 = 5a + 2b

a+b=50
190 = 5·a + 2·b

a+b = 50
5a+2b = 190

Pivot: Row 1 ↔ Row 2
5a+2b = 190
a+b = 50

Row 2 - 1/5 · Row 1 → Row 2
5a+2b = 190
0.6b = 12


b = 12/0.6 = 20
a = 190-2b/5 = 190-2 · 20/5 = 30

a = 30
b = 20

Our linear equations calculator calculates it.



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