Question

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

Answer 1

Their total bill will be $83.78.

They will pay $20.95 each

Step-by-step explanation:

Given;

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

`T=\text{ \$65.45}`

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

`\begin{gathered} \text{Tax}=8\text{\% of T=}(8)/(100)*65.45 \\ \text{Tax}=\text{ \$5.24} \end{gathered}`
`\begin{gathered} \text{Tip}=20\text{\% of T=}(20)/(100)*65.45 \\ \text{Tip}=\text{ \$13.09} \end{gathered}`

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

`\begin{gathered} C_T=65.45+5.24+13.09 \\ C_T=\text{ \$83.78} \end{gathered}`

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;

`\text{Bill per person =}(C_T)/(4)=\frac{\text{ \$83.78}}{\text{4}}=\text{ \$20.95}`

So, they will pay $20.95 each