Answer:
Sonya pays $111.825 for the four pairs altogether.
Step-by-step explanation:
The original price for each pair of shoes was $35.
The sale offers "buy one, get one 50% off".
That means, for first two pairs of shoes, the total original price [tex]=\$35+(50\%\ of\ \$35)=\$35+(0.50*\$35)=\$35+\$17.50=\$52.50[/tex]
Similarly, for next two pairs of shoes, the total original price [tex]=\$52.50[/tex]
So, the total original price for 4 pairs of shoes [tex]=\$52.50+\$52.50=\$105[/tex]
The sales tax is 6.5% . So, the amount of sales tax [tex]=(6.5\%\ of\ \$105)=(0.065*\$105)=\$6.825[/tex]
Thus, the total amount Sonya need to pay for the four pairs altogether [tex]=\$105+\$6.825=\$111.825[/tex]
The amount paid for the four pairs altogether is $111.825
Based on the discount given :
Original price of shoe = $35
Cost of 1st purchase = $35
Cost of 2nd = 50% (0.5) of original price
Therefore :
For the first 2 purchases :
$35 + (0.5 × $35) = $52.5
Next 2 purchases :.
$35 + (0.5 × $35) = $52.5
Total cost without tax = ($52.5 + $52.5) = $105
Tax on sale = 6.5% of cost price
Tax = 0.065 × $105 = $6.825
Total cost including tax :
$105 + $6.825 = $111.825
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