Brayden goes out to lunch. The bill, before tax and tip, was $15.05. A sales tax of 3% was added on. Brayden tipped 22% on the amount after the sales tax was added. The total cost of the meal plus tip and tax was more than the cost of the bill by what percent? Round to the nearest whole number.

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Step-by-step explanation:

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

Solution: Estimating an answer

If you are not concerned whether you give the waiter exactly 20%, you can simply estimate the total bill. Tax and tip together are a little less than 30% and the bill is a little more than $50. Since 30% of 50 is 15, the tax and tip together are approximately $15. (Note that the exact calculation is $14.73.)

We can also estimate the total bill as $52 + $15 = $67, which is very close to the exact calculation of $67.33. This kind of estimating is a good way to check the answer to an exact calculation, and more like the way you would probably compute tax and a tip in a real restaurant.

Solution: Exact tax, approximate tip

In a real-world context, restaurant patrons generally estimate the tip, but pay the exact tax based on the calculation of their bill. Therefore, a third solution possibility is for students to estimate the tip portion of the calculations and to find the exact tax when calculating the total bill.

If you wish to estimate the tip, you can round $52.60 to $50. Twenty percent of $50 is $10. So, you would leave a $10 tip.

To figure tax, you need to find 8% of $52.60:

0.08×52.6=4.208.

Next, add the estimated tip, the calculated tax, and the pre-tax bill:

52.60+10+4.208=66.808.

The total bill will be $66.81.

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