Leslie has a voucher worth $5 coupon from Wal-Mart.She visits the store and purchases a wallet that amounted to double the price she paid for the groceries she bought.If Leslie was billed for a total of $34.45 after the voucher was redeemed, what was the cost of the wallet?

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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.

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