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?

Respuesta :

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:

[tex]x=y+10[/tex]

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

[tex]\begin{gathered} 2x=60 \\ x=\frac{60}{2} \\ x=30 \end{gathered}[/tex]

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

[tex]\begin{gathered} x=y+10 \\ 30=y+10 \\ y=30-10 \\ y=20 \end{gathered}[/tex]

So the cost of the wallet is 20.