The treasury

Lucy has only two-crown and five-crown coins in her treasury. She has 30 coins worth 108 Czech crowns (CZK). How many two-crown and how many five-crown coins does she have?

Correct answer:

a =  14
b =  16

Step-by-step explanation:

30=a+b 108=2a+5b  30=a+b 108=2 a+5 b  a+b=30 2a+5b=108  Pivot:Row1Row2 2a+5b=108 a+b=30  Row221 Row1Row2 2a+5b=108 1.5b=24  b=1.524=16 a=21085b=21085 16=14  a=14 b=16

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