CZK coins

Thaddeus and Jolana together have 15 CZK. Jolana has half of Thaddeus money. Nevertheless Jolana has 3 coins and Thaddeus 2 coins. Which coin has Thaddeus and Jolana (Help: CZK coins has values 1,2,5,10,20,50 CZK)?

Correct result:

t =  10 Kč
j =  5 Kč

Solution:

$$\begin{gathered} t+j=15 \\ j=t\mathrm{/}2 \\ t=10Kc=5+5Kc \\ s=5Kc=2+2+1Kc \end{gathered}$$

t+j = 15
j = 1/2 • t

j+t = 15
2j-t = 0

j = 5
t = 10

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