SOLUTION: The total cost for a dinner was $97.52. This included a 15% tip calculated on the cost of the dinner after a 6 % sales tax. Find the cost of dinner before the tip and tax.

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Question 17842: The total cost for a dinner was $97.52. This included a 15% tip calculated on the cost of the dinner after a 6 % sales tax. Find the cost of dinner before the tip and tax.
Answer by whisper(27) About Me  (Show Source):
You can put this solution on YOUR website!
Let's look at what we know:
dinner total cost $97.52
Dinner = Original cost + tip + sales tax
original cost + 15%tax +6% sales tax = total cost
Now let's make this into an equation
original cost = c
tip= .15(c+.06c)
sales tax = .06c
Dinner = 97.52
c+.06c+.15(c+.06c)=97.52
c+.06c+.15(1.06c)=97.52
1.06c+.159c=97.52
1.219c=97.52
Divide both sides by 1.219
1.219c/1.219=97.52/1.219
1c=80
c=80
The original cost of the dinner before tip and tax is $80.00
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