Kilograms 5525

Sandra weighs the same as Markéta and 3 kg less than Justýna. All three together weigh 156kg. How many kilograms does each girl have?

Correct answer:

j =  54
m =  51
s =  51

Step-by-step explanation:


s=m
s = j-3
s+m+j=156

m-s = 0
j-s = 3
j+m+s = 156

Pivot: Row 1 ↔ Row 2
j-s = 3
m-s = 0
j+m+s = 156

Row 3 - Row 1 → Row 3
j-s = 3
m-s = 0
m+2s = 153

Row 3 - Row 2 → Row 3
j-s = 3
m-s = 0
3s = 153


s = 153/3 = 51
m = 0+s = 0+51 = 51
j = 3+s = 3+51 = 54

j = 54
m = 51
s = 51

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