Answer :
Saving of $2.10 is made by buying fleece vest on sale.
Solution:
Given that regular price of fleece vest = $15.99
And sale price of fleece vest = $13.99
Sales tax = 5%
Fleece vests regularly priced at $15.99, If sales tax is 5% then:
Regular price + sales tax = R = 15.99 + 5 % of 15.99
[tex]\begin{array}{l}{\mathrm{R}=15.99+5 \times \frac{15.99}{100}} \\\\ {\mathrm{R}=15.99\left(\frac{105}{100}\right)} \\\\ {\mathrm{R}=15.99 \times 1.05}\end{array}[/tex]
Fleece vests are on sale for 13.99$ , then:
Discounted Price + sales tax = S = 13.99 + 5 % of 13.99
[tex]\begin{array}{l}{S=13.99+5 \times \frac{13.99}{100}} \\\\ {\mathrm{S}=13.99\left(1+\frac{5}{100}\right)} \\\\ {\mathrm{S}=13.99\left(\frac{105}{100}\right)} \\\\ {\mathrm{S}=13.99 \times 1.05}\end{array}[/tex]
Saving made = R - S
[tex]\begin{array}{l}{=(15.99 \times 1.05)-(13.99 \times 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 \times 2=2.10}\end{array}[/tex]
Thus we can save $ 2.10 by buying vests on sale