The total number of one crown and five crown coins in a wallet is and the total worth is crowns. How many one crown and five crown coins are there in the wallet?
We are looking to find the number of one crown and five crown coins. These are our unknown variables. We can for example define the number of one crown coins as and the number of five crown coins as We know two things about the coins: how many of them there are and their total value. By using this relationship, we can set up two different equations.
- One equation describes the total number of coins:
- One equation describes the coins total value:
By using these equations, we have created a system of equations and can solve using the elimination/addition method.
The solution is
which means that there are 4 one crown coins and 6 five crown coins in the wallet.