Sophia is buying her first car. She wants a Volkswagon 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.
A. What will be the total of the car price plus upgrades? Show your work.
B. How do you know find 7% of your total in part A? Show your proportion and work. Explain your process.
C. What will be the total of Safia's loan with upgrades INCLUDING sales tax? Show your work.
A. The total price of the car plus upgrades is $21,345 + $2,500 = $23,845.
B. To find 7% of the total price in part A, we can set up a proportion:
7% (x) = $23,845
100% (21,345 + 2,500)
Cross-multiplying, we have:
7x = 23,845 * 100
7x = 2,384,500
Dividing both sides by 7:
x = 2,384,500 / 7
x ≈ 340,643
Therefore, 7% of the total price in part A is approximately $340,643.
C. To find the total of Safia's loan with upgrades including sales tax, we add the sales tax amount to the total price in part A.
Sales tax = 7% of $23,845 ≈ $340,643
Total loan with upgrades including sales tax = $23,845 + $340,643 = $364,488
Therefore, the total of Safia's loan with upgrades INCLUDING sales tax is approximately $364,488.
explain each question 4 me
A. In question A, we are asked to find the total price of the car plus any upgrades. We are given that the price of the car is $21,345 and the upgrades cost $2,500. To find the total price, we simply add the car price and the upgrade cost: $21,345 + $2,500 = $23,845.
B. In question B, we are asked to find 7% of the total price calculated in part A. To do this, we set up a proportion. The unknown, which represents 7% of the total price, is represented by x. We set up the proportion: 7% (x) = $23,845 / 100%. We then cross-multiply, which means multiplying the numerator of one side by the denominator of the other side and vice versa. We solve for x by dividing both sides of the equation by 7. This gives us the answer, approximately $340,643.
C. In question C, we are asked to find the total of Safia's loan with upgrades, including sales tax. We are given that the total loan amount is the sum of the total price in part A and the sales tax amount. We already found the total price to be $23,845 in part A. In part B, we found the sales tax amount to be approximately $340,643. To find the total loan amount, we add the total price and the sales tax: $23,845 + $340,643 = $364,488. Therefore, the total of Safia's loan with upgrades INCLUDING sales tax is approximately $364,488.