Answer: Sales of jackets increased 18.8 percentage points faster than total coat sales.
Explanation:
From the given pie-charts, Sales of jackets in 2006=213
Sales of jackets in 2007= 285
![\text{Increase in Sales of jacket = Sales in 2007-Sales in 2006}\\\\\Rightarrow\text{Increase in Sales of jacket = }285-213=72](https://img.qammunity.org/2020/formulas/mathematics/middle-school/661javhtywk3rxa7n6pwfr34sstv7gbj1o.png)
The percentage increase in sale of jacket =
![\frac{\text{Increase in sales}}{\text{Sales in 2006}}*100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9hti4t8xywzlylncxiyzuitogx4ct98aau.png)
![=(72)/(213)*100=33.8028169014\%\approx33.8\%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6ji9ofg6n9b1u21nl3sxbbinea9lehfnix.png)
Total sales in 2006=
![103+297+210+213+137=960](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qv4f8ypwh0irbmgxc6bjx9twsaw0kve394.png)
Total sales in 2007=
![127+223+210+285+259=1104](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e2gy1ddejjuk3qcp65r8vnm7r79awhp1rc.png)
![\text{Increase in Total coat's sales = Total sales in 2007-Total sales in 2006}\\\\\Rightarrow\text{Increase in Total sales = }1104-960=144](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j6e9rjjv3ggzyoax4h8qm7o9goh28aifvw.png)
bbb
The percentage increase in total coat's sales =
![\frac{\text{Increase in Total sales}}{\text{Total sales in 2006}}*100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pu9zwt404dnvfu7fb6kg5zwm4s708fwzn0.png)
![=(144)/(960)*100=15\%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/67mxorxw9nhq8rnmz99jtn57bwkh8lwfuo.png)
Clearly, 33.8 >15
Hence, the percentage increase in sales of jackets is greater than percentage increase in the total coat's sales.
Difference in percent of total coats sales and jackets sales =
![33.80\% -15\% =18.80\%](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gb1obtt4kilkonbxtfy5grnulqe06ya8uj.png)
Hence, Sales of jackets increased 18.8 percentage points faster than total coat sales.