Ken and Paul each ordered a sandwich at a restaurant. The price of Ken’s sandwich was x dollars, and the price of Paul’s sandwich was $1 more than the price of Ken’s sandwich. If Ken and Paul split the cost of the sandwiches evenly and each paid a 20% tip, which of the following expressions represents the amount, in dollars, each of them paid? (Assume there is no sales tax.)

Options

A. `0.2 x + 0.2 `
B. ` 0.5 x + 0.1 `
C. ` 1.2x+0.6`
D. ` 2.4 x + 1.2 `

Answer

C

Explanation

Since the price of Ken’s sandwich was x dollars, and Paul’s sandwich was $1 more, the price of Paul’s sandwich was x + 1 dollars. Thus, the total cost of the sandwiches was 2x + 1 dollars. Since this cost was split evenly, Ken and Paul each paid `(2x + 1)/( 2) = x + 0.5` dollars plus a 20% tip. After adding the 20% tip, each of them paid (x + 0.5) + 0.2(x + 0.5) = 1.2(x + 0.5) = 1.2x + 0.6 dollars.
Choices A, B, and D are incorrect. These expressions do not model the given context. They may be the result of errors in setting up the expression or of calculation errors.