Question

Lucy and Harriet each ordered dinner at a restaurant. The price of Harriet's dinner was h dollars, and the price of Lucy's dinner was $4 more than the price of Harriet's dinner. If Lucy and Harriet split the cost of the dinners and each paid a generous 30% tip, which of the expressions below represents the amount, in dollars, each paid? (no sales tax). A) 03.h + 0.6 B) 1.3h + 2.6 C) 2.6h + 5.2 D) 3h + 6

Answer 1

The amount each paid was (1.3h + 2.6)

Here, we want to get the amount paid by the two given the tip percentage

From the question, Harriet's cost was h

She paid or added a 30% tip

Mathematically, that would be;

`\begin{gathered} h\text{ + 30\% of h} \\ =\text{ h + 0.3h = 1.3h} \end{gathered}`

Lucy had a dinner that cost an extra 4

The amount she would be paying is $(h+4)

We proceed to find the 30% tip and add

That would be;

`\begin{gathered} (h+4)\text{ + 30\% of (h+4)} \\ =\text{ h + 4 + 0.3(h+4)} \\ =h+4+0.3h+1.2 \\ =1.3h\text{ + 5.2} \end{gathered}`

The total cost of the bill is thus;

`1.3h\text{ + 1.3h + 5.2 = 2.6h + 5.2}`

To find the individual amount paid, we divide this value by 2, which is;

`\frac{(2.6h\text{ + 5.2)}}{2}\text{ = 1.3h + 2.6}`