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.

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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) About Me  (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:
X+%2B+0.04X+=+X%281.04%29
Then there is a 15% tip applied to the amount we just found. So the total charge for the dinner becomes:
X%281.04%29+%2B+0.15X%281.04%29+=+X%281.04%29%281.15%29+=+X%281.196%29
Since the couple doesn't want to spend more than $50, we get the inequality:
X%281.196%29+%3C=+50
Dividing both sides by 1.196:
X+%3C=+50%2F1.196
X+%3C=+41.80
So the couple can't spend more than $41.80 on the meals.

I hope this helps!
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