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,
[tex]\frac{8}{100} \timesx=0.08x[/tex], 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:
[tex]x+0.08x-5=30.78[/tex]
Solving for 'x' we get:
[tex]1.08x-5=30.78[/tex]
[tex]1.08x=30.78+5[/tex]
[tex]1.08x=35.78[/tex]
[tex]x=\frac{35.78}{1.08} =33.129[/tex]
Therefore, the actual cost of the dinner is $33.13.
