A restaurant bill comes to $28.35. How do you find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax?

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A restaurant bill comes to $28.35. How do you find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax?

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Answer 1 · 2017-08-15T13:11:14

See a solution process below:

Explanation:

First, we can determine the amount of the tax:

$t = b \cdot r$ $t = b * r$

Where:

$t$ $t$ is the amount of the tax.

$b$ $b$ is the amount of the bill - $28.35 for this problem.

$r$ $r$ is the tax rate. $6.25 %$ $6.25%$ for this problem. Percent or % means per 100 or out of 100. We can write $6.25 %$ $6.25%$ as $\frac{6.25}{100}$ $6.25/100$

Substituting gives:

$t = $ 28.35 \cdot \frac{6.25}{100}$ $t = $28.35 * 6.25/100$

$t = \frac{$ 177.1875}{100}$ $t = ($177.1875)/100$

$t = $ 1.771875$ $t = $1.771875$

$t = $ 1.77$ $t = $1.77$

Next, we can determine the amount of the tip:

$p = b \cdot g$ $p = b * g$

Where:

$p$ $p$ is the amount of the tip.

$b$ $b$ is the amount of the bill - $28.35 for this problem.

$g$ $g$ is the gratuity rate. $20 %$ $20%$ for this problem. Percent or % means per 100 or out of 100. We can write $20 %$ $20%$ as $\frac{20}{100}$ $20/100$

Substituting gives:

$p = $ 28.35 \cdot \frac{20}{100}$ $p = $28.35 * 20/100$

$p = \frac{$ 567.00}{100}$ $p = ($567.00)/100$

$p = $ 5.67$ $p = $5.67$

Now, we can add the amount of the bill, the tax and tip amounts to find the total cost:

$$ 28.35 + $ 1.77 + $ 5.67 = $ 35.79$ $$28.35 + $1.77 + $5.67 = $35.79$

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A restaurant bill comes to $28.35. How do you find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax?

1 Answer

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