Tom and his three friends went out to eat Their total bill was $65.45. The tax rate is 8% and they tipped the waitress 20% What was the total price of their bill? How much should each person pay? Show your work. thank you

Respuesta :

Answer:

Their total bill will be $83.78.

They will pay $20.95 each

Explanation:

Given;

Tom and his three friends went out to eat Their total bill T was $65.45.

[tex]T=\text{ \$65.45}[/tex]

The tax rate is 8% and they tipped the waitress 20%.

[tex]\begin{gathered} \text{Tax}=8\text{\% of T=}\frac{8}{100}\times65.45 \\ \text{Tax}=\text{ \$5.24} \end{gathered}[/tex][tex]\begin{gathered} \text{Tip}=20\text{\% of T=}\frac{20}{100}\times65.45 \\ \text{Tip}=\text{ \$13.09} \end{gathered}[/tex]

The total price they will pay is equal to the sum of the total bill, the tax and the tip.

[tex]\begin{gathered} C_T=65.45+5.24+13.09 \\ C_T=\text{ \$83.78} \end{gathered}[/tex]

Therefore, their total bill will be $83.78.

Assuming, each of them are to share the bill equally, then since there are 4 persons, The bill per person will be the total bill divided by 4;

[tex]\text{Bill per person =}\frac{C_T}{4}=\frac{\text{ \$83.78}}{\text{4}}=\text{ \$20.95}[/tex]

So, they will pay $20.95 each