To calculate how much more Kenny would spend if he purchases the items in the city he lives in compared to another city with a lower sales tax rate, we need to compute the total cost including sales tax for both scenarios.
First, let's calculate the total cost of the items without tax:
\[
\text{Total Cost (without tax)} = \$79.95 + \$12.50 + \$16.75 + \$5.20
\]
\[
\text{Total Cost (without tax)} = \$114.40
\]
Now, let's calculate the total cost including sales tax for both cities:
1. In the city he lives in (6.5% sales tax):
\[
\text{Total Cost (with 6.5% tax)} = \text{Total Cost (without tax)} \times (1 + 0.065)
\]
\[
\text{Total Cost (with 6.5% tax)} = \$114.40 \times 1.065
\]
\[
\text{Total Cost (with 6.5% tax)} \approx \$121.94
\]
2. In the other city (5% sales tax):
\[
\text{Total Cost (with 5% tax)} = \text{Total Cost (without tax)} \times (1 + 0.05)
\]
\[
\text{Total Cost (with 5% tax)} = \$114.40 \times 1.05
\]
\[
\text{Total Cost (with 5% tax)} \approx \$120.12
\]
Now, let's find out how much more he spends if he purchases the items in the city he lives in compared to the other city:
\[
\text{Difference in Cost} = \text{Total Cost (with 6.5% tax)} - \text{Total Cost (with 5% tax)}
\]
\[
\text{Difference in Cost} = \$121.94 - \$120.12
\]
\[
\text{Difference in Cost} \approx \$1.82
\]
So, Kenny would spend approximately $1.82 more if he purchases the items in the city he lives in compared to the other city.
