Question

Torrey has a coin collection from his foreign travels to Sweden and Norway. He has a total of 998 coins. The number of Norwegian coins is 26 fewer than three times the number of Swedish coins. How many coins from each country does he have?

Answer 1

total coins = 998

Let

the swedish coins = x

Therefore,

Norwegian coins = 3x - 26

The coins from each country can be calculated below

`\begin{gathered} x+3x-26=998 \\ 4x=998+26 \\ 4x=1024 \\ x=(1024)/(4) \\ x=256 \end{gathered}`

Therefore,

`\begin{gathered} \text{swedish coins = 256} \\ Norwegian\text{ coins = 3(256)-26 = }768-26=742\text{ } \end{gathered}`