Money duo

Julius and Mark have 45 euros together. Mark has 50% more money than Julius. Determine the amount of money Mark and Julius have.

Correct answer:

j =  18
m =  27

Step-by-step explanation:


j+m=45
m = 1.50 j

j+m=45
m = 1.50·j

j+m = 45
1.5j-m = 0

Pivot: Row 1 ↔ Row 2
1.5j-m = 0
j+m = 45

Row 2 - 1/1.5 · Row 1 → Row 2
1.5j-m = 0
1.67m = 45


m = 45/1.66666667 = 27
j = 0+m/1.5 = 0+27/1.5 = 18

j = 18
m = 27

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