Hello!
The answer is:
The correct option is:
A) $74.55
Why?
To calculate how much does Sonya pay for the four pairs altogether, we need to calculate the original price after the 50% discount and the taxes.
Calculating we have:
[tex]PriceAfterDiscount=35*50(percent)=35*\frac{50}{100}\\\\35*\frac{50}{100}=35*0.5=17.5[/tex]
We have that before the tax, the price of the shoes was $17.5, then, calculating the price after the taxes, we have:
[tex]AfterTaxes=17.5(1+6.5(percent))=17.5(1+\frac{6.5(percent)}{100})\\\\AfterTaxes=17.5(1+\frac{6.5(percent)}{100})=17.5*(1+0.065)\\\\AfterTaxes=17.5*(1+0.065)=17.5*1.065=18.637[/tex]
So, we have that the price after discount and the taxes is $18.637 per each pair of shoes.
Hence, the price for the four pairs of shoes will be:
[tex]TotalPrice=4*18.637=74.548=74.55[/tex]
Have a nice day!
