SOLUTION: A couple does not want to have a charge of more than $50 for dinner at a restaurant. A sales tax of 4% is added to the bill, and they plan to tip 15% after the tax has been added.

Question 30966: A couple does not want to have a charge of more than $50 for dinner at a restaurant. A sales tax of 4% is added to the bill, and they plan to tip 15% after the tax has been added. What can the couple spend of the meal?
Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
First we need to find an expression for the total charge of the dinner.
Let's call X to the amount the couple spends on the meal. After adding the 4 percent tax, this amount goes to:

Then there is a 15% tip applied to the amount we just found. So the total charge for the dinner becomes:

Since the couple doesn't want to spend more than $50, we get the inequality:

Dividing both sides by 1.196:

So the couple can't spend more than $41.80 on the meals.

I hope this helps!
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