Question

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.)

Answer 1

The expression that represent the amount each of them paid is
`1.2x+0.6 \ dollars`

Explanation:

Given:

Price of Ken’s sandwich was
`x` dollars

Paul’s sandwich was $

1 more,

the price of Paul’s sandwich was
`(x+1)` dollars.

hence, the total cost of the sandwiches
`= x+x+1=2x+1`dollars.

Now The cost was split evenly,

Ken and Paul each paid =
`(2x+1)/(2)=(2x)/(2)+(1)/(2)= x+0.5` dollars

Also they have paid additional 20% as a tip.

After adding the 20

%

tip, each of them paid =
`(x+0.5)+(20)/(100)(x+0.5)=(x+0.5)+0.2(x+0.5)= 1.2(x+0.5)= 1.2x+0.6 \ dollars`

Hence the expression that represent the amount each of them paid is
`1.2x+0.6 \ dollars`