Fifty-koruna 62454

Kryštof has 1,500 kroner in ten and 50 kroner coins in his piggy bank. There are five times as many ten-koruna coins as fifty-koruna coins. How many ten-crown coins does Kryštof have in his piggy bank?

Correct answer:

a =  75
b =  15

Step-by-step explanation:


10a+50b=1500
a = 5·b

10·a+50·b=1500
a = 5·b

10a+50b = 1500
a-5b = 0

Row 2 - 1/10 · Row 1 → Row 2
10a+50b = 1500
-10b = -150


b = -150/-10 = 15
a = 1500-50b/10 = 1500-50 · 15/10 = 75

a = 75
b = 15

Our linear equations calculator calculates it.



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