Sophia is buying her first car. She wants a Volkswagen Jetta. It costs $21,345 plus $2,500 for upgrades like floor mats and a sunroof. The Georgia sales tax on the car will be 7%. What will be the total of her loan with upgrades including sales tax? Round to the nearest whole number.
The cost of the car without upgrades is $21,345 and the cost of the upgrades is $2,500 so 21345+2500 = $<<21345+2500=23845>>23,845
Georgia sales tax is 7% so .07*23,845 = $<<.07*23845=1669.15>>1669.15
Her loan for the car will be 23,845+1,669 = $<<23845+1669=25514>>25,514. Answer: \boxed{25514}.
Can you do it in proportions?
Certainly! We can do this problem using proportions as well.
The cost of the car is $21,345 and the cost of upgrades is $2,500. Let's call the total cost of the car with upgrades as "x".
So, we can set up the proportion:
(Upgrade Cost) / (Car Cost) = (Total Cost with Upgrades) / (Car Cost)
2,500 / 21,345 = x / 21,345
Now, let's solve for x:
x = (2,500 / 21,345) * 21,345
x = 2,500
So, the total cost of the car with upgrades is $2,500.
Next, we need to calculate the sales tax. The sales tax is 7% of the total cost with upgrades.
Sales Tax = 7% * 2,500
Sales Tax = $175
Finally, we add the sales tax to the total cost with upgrades to find the total loan amount:
Total Loan Amount = Total Cost with Upgrades + Sales Tax
Total Loan Amount = 2,500 + 175
Total Loan Amount = $2,675
Therefore, the total loan amount, including upgrades and sales tax, is $2,675.