# 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)?

Result

t =  10
j =  5

#### Solution:

$t+j=15 \ \\ j = t/2 \ \\ \ \\ t = 10 \ Kc = 5+5 \ Kc \ \\ s = 5 \ Kc = 2+ 2+ 1 \ Kc$

t+j = 15
j = 1/2 * t

j+t = 15
2j-t = 0

j = 5
t = 10

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