A restaurant customer left ​$0.90 as a tip. The tax was 5% and the tip was 10​% of the cost including tax. What is the total bill

Answer 1

Hi LaQuireana,

To find the total bill:

*Integrate the equation: is/of = %/100 into the picture here.

*Ask yourself the question, "$0.90 is 10% of what number?"

*Create the following equation: 0.9/x = 10/100

*Multiply 10 by x to get 10x

*Multiply 0.9 by 100 to get 90

*Divide 90/0.9 and you will get your answer for the total bill.

Answer 2

Tip = $0.90, which is 10% of the cost including tax.

Cost including tax = x

0.90 = 0.1 * x

x = 9

So cost including tax is $9

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This next step is not necessary to solve to problem, but I will include it so you can understand the logic of double checking your answer!

To find the cost of the meal , we need to remove tax, which is 5% of the total bill. Therefore, $9 is 105% of the total cost.

Cost of Meal = y

9 = 1.05 * y

y = 8.57

Let's see if that makes sense. The customer buys a $8.57 meal. 5% tax on $8.57 is $0.43, bringing our total to $9. The customer wants to leave a 10% tip. 10% of $9 is $0.90.

Because we are given the tip amount ($0.90) and we are told that the tip is 10% of the cost including tax, we don't actually need to use the information about the tax (5% of the meal) to find the answer, as the total bill is equal to cost + tax + tip.

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The total bill is the cost + tax + tip = $9 + $0.90 = $9.90