Answer:
The Cost of wallet was $26.30.
Step-by-step explanation:
Given:
Total billed after redeeming voucher = $34.45
Voucher worth = $5
We need to find the cost of Wallet.
Solution:
Let the amount paid for groceries be 'x'.
Now Given:
She purchases a wallet that amounted to double the price she paid for the groceries she bought.
Cost of wallet = [tex]2x[/tex]
Now to find the cost of wallet we will consider the amount before redeeming the voucher.
Hence Total bill before redeeming the voucher = [tex]\$34.45+\$5=\$39.45[/tex]
Now We can say that;
Total bill is equal to sum of Cost of wallet and Cost of groceries.
framing in equation form we get;
[tex]x+2x=39.45\\\\3x=39.45[/tex]
Dividing both side by 3 we get;
[tex]\frac{3x}{3}=\frac{39.45}{3}\\\\x=\$13.15[/tex]
Cost paid for groceries = $13.15
Cost paid for wallet = [tex]2x=2\times 13.15 =\$26.30[/tex]
Hence the Cost of wallet was $26.30.