Ancient kingdom coins

Algebra Level 2

In an ancient kingdom, the s i l v e r {\color{silver}silver} coin piece is equal to 8 8 c o p p e r {\color{copper}copper} coin pieces , the g o l d {\color{gold}gold} coin piece is equal to 15 15 c o p p e r {\color{copper}copper} coin pieces ,

How many g o l d {\color{gold}gold} coin pieces , at most , can a citizen get for 5 5 s i l v e r {\color{silver}silver} coin pieces ?

0 0 2 2 4 4 1 1 3 3

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1 solution

5 5 s i l v e r {\color{silver}silver} coin pieces are equal to 40 40 c o p p e r {\color{copper}copper} coin pieces,

1 1 g o l d {\color{gold}gold} coin piece is equal to 15 15 c o p p e r {\color{copper}copper} coin pieces , so ,

2 2 g o l d {\color{gold}gold} coin piece are equal to 30 30 c o p p e r {\color{copper}copper} coin pieces , and,

3 3 g o l d {\color{gold}gold} coin piece are equal to 45 45 c o p p e r {\color{copper}copper} coin pieces , so ,

the citizen can get at most 2 2 g o l d {\color{gold}gold} coin pieces ,

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