Question

Jennifer. Leigh Anne, and Karyn went out to eat. Jennifer bought an entrée for $12.95 and split a $4.95 dessert with Karyn, who bought a sandwich for $7.95. Leigh Anne bought soup for $3.95, a salad for $6.95, and coffee for $1.70. Determine the total amount each should pay if tax is 6% and each one tips 15% of her individual bill rounded up to the next quarter.

Answer 1

The total amount Leigh Anne spent is $3.95 plus $6.95 plus $1.7, that is $12.6. Since they pay a tax of 6% and a tip of 15%, she pays a total of 21% extra; this 21% can be obtained by the tule of three:

`\begin{gathered} 12.6\rightarrow100 \\ x\rightarrow21 \end{gathered}`

then:

`x=(21\cdot12.6)/(100)=2.65`

Therefore, Leigh Anne spent a total of $15.25.

Assuming the dessert was split in half, then Jennifer spent a total of $15.43. To this amount we have to add the tax and tip. By the same logic as before we have:

`\begin{gathered} 15.43\rightarrow100 \\ x\rightarrow21 \end{gathered}`

then:

`x=(21\cdot15.43)/(100)=3.24`

Therefore, Jennifer spent $18.75

Finally Karyn spent $10.43, obtaining the extra amount we have:

`\begin{gathered} 10.43\rightarrow100 \\ x\rightarrow21 \end{gathered}`

Then:

`x=(21\cdot10.43)/(100)=2.19`

Therefore, Karyn spent $12.75.