Now after the coupon of $5.00 and after paying the taxes at the rate of 8%. He paid $30.78 for the dinner.
So, lets say the actual price of the dinner was 'x' dollars.
Now, 8% of x dollars can be written as,
, this is the amount he needs to pay in addition to the original price (since it is taxation on the actual price).
And he got off of $5.00 from the coupon.
So after all the deductions and payment of tax, he paid $30.78, which can also be written as:
Solving for 'x' we get:
![1.08x-5=30.78](https://tex.z-dn.net/?f=1.08x-5%3D30.78)
![1.08x=30.78+5](https://tex.z-dn.net/?f=1.08x%3D30.78%2B5)
![1.08x=35.78](https://tex.z-dn.net/?f=1.08x%3D35.78)
![x=\frac{35.78}{1.08} =33.129](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B35.78%7D%7B1.08%7D%20%3D33.129)
Therefore, the actual cost of the dinner is $33.13.