Tadeus

Tadeus and Jolana have a total of CZK 15. Jolana has half that of Tadeus. Nevertheless, Jolana has three coins and Tadeus 2. Which coin does Tadeus have, and which Jolan?

Correct answer:

j =  5
t =  10

Step-by-step explanation:


t+j=15
j=t/2

j+t = 15
2j-t = 0

Pivot: Row 1 ↔ Row 2
2j-t = 0
j+t = 15

Row 2 - 1/2 · Row 1 → Row 2
2j-t = 0
1.5t = 15


t = 15/1.5 = 10
j = 0+t/2 = 0+10/2 = 5

j = 5
t = 10

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