Question

Claire purchase 2 handbags and a wallet. The cost of each handbag was 10 dollars more than the wallet, if she spent a total of 60 dollars for the 2 hand bags, what is the cost of the wallet?

Answer 1

Let's use the variable 'x' to represent the cost of a handbag and the variable 'y' to represent the cost of a wallet.

If the cost of a handbag is 10 dollars more than the wallet, we have:

`x=y+10`

Since the cost of 2 handbags is 60, we have:

`\begin{gathered} 2x=60 \\ x=(60)/(2) \\ x=30 \end{gathered}`

Now that we have the cost of a handbag, let's find the cost of a wallet:

`\begin{gathered} x=y+10 \\ 30=y+10 \\ y=30-10 \\ y=20 \end{gathered}`

So the cost of the wallet is 20.