Tutor couldnt explain?
You paid $26696.5 for a new car. This includes the 7% sales tax. What was the original cost of the car?
So i got help from a tutor but she couldn't explain how she got it
- RayLv 78 years ago
The original cost of the car will be 100%.
Thus we are told 107% = $26696.5
Therefore 1% = $26696.5 / 107
and 100% = (26696.5 / 107) x 100
- nkronLv 68 years ago
The equation for total price is:
price + price * tax rate = total
With your numbers (remember 7% = 7 / 100 = 0.07):
price + price * 0.07 = $26696.50
price * (1 + 0.07) = $26696.50
price * 1.07 = $26696.50
price = $26696.50 / 1.07
price = $24950.00
So the original price is $24950.00.
You can double check your work with a sales tax calculator like: http://www.sale-tax.com/Calculator?price=24950.00&...
- BrainyMeLv 48 years ago
The car cost $26696.5 including 75 sales tax
In equation form this looks like:
26696.5 = x + 0.07x
This is because you are adding the original cost of the car (x) as well as 7% of the original cost to get $26696.5.
Now solve for the equation:
26696.5 = 1.07x
x = 26696.5/1.07
I'll let you solve for that, hope this helps!
- DWReadLv 78 years ago
c = original price of car
tax = 7% of c = 0.07c
total cost = c + 0.07c = c(1 + 0.07) = 1.07c
1.07c = 26696.5
c = 26696.5/1.07 = [fill in]