Michael and Imani go out to eat for lunch.

PART A
If their food and beverages cost $25.30 and there is a 7.5% meals tax, how much is the bill? enter your answer to the nearest cent.

[$27.20 is the correct answer for this. Part B is what I need help on.]

PART B
After adding a tip (which was determined before tax), the total lunch cost was $32.26. What percentage tip did they give?​



Answer :

Answer:

A) $27.20

B) 20%

Step-by-step explanation:

PART A

To calculate the total bill, we need to add the meals tax to the initial cost of food and beverages.

[tex]\textsf{Total Bill}=\textsf{Initial cost}+\textsf{Meals tax}[/tex]

To calculate the meals tax, we multiply the decimal form of 7.5% by the initial food and beverages cost. Therefore:

[tex]\textsf{Total Bill}=\$25.30+(0.075 \times \$25.30)[/tex]

[tex]\textsf{Total Bill}=\$25.30+\$1.8975[/tex]

[tex]\textsf{Total Bill}=\$27.1975[/tex]

[tex]\textsf{Total Bill}=\$27.20\; \sf(nearest\;cent)[/tex]

So, the total bill is $27.20, rounded to the nearest cent.

PART B

After adding a tip, the total lunch cost was $32.26.

Since meals tax is typically applied to the cost of the meal and not on the tip, we can calculate the amount of the tip given by subtracting the total cost of the meal including meals tax ($27.20) from the overall total bill ($32.26). The difference represents the tip amount:

[tex]\textsf{Tip amount}=\$32.26-\$27.20[/tex]

[tex]\textsf{Tip amount}=\$5.06[/tex]

To determine the percentage of the tip they gave, divide the tip by the initial cost of the lunch (before the meals tax was applied) and multiply by 100:

[tex]\textsf{Percentage}=\dfrac{\$5.06}{\$25.30} \times 100[/tex]

[tex]\textsf{Percentage}=0.2 \times 100[/tex]

[tex]\textsf{Percentage}=20\%[/tex]

Therefore, the percentage tip Michael and Imani gave was 20%.