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.)

Respuesta :

Answer:

The expression that represent the amount each of them paid is [tex]1.2x+0.6 \ dollars[/tex]

Step-by-step explanation:

Given:

Price of Ken’s sandwich was [tex]x[/tex]  dollars

Paul’s sandwich was  $

1  more,

the price of Paul’s sandwich was  [tex](x+1)[/tex] dollars.  

hence, the total cost of the sandwiches  [tex]= x+x+1=2x+1[/tex]dollars.  

Now The cost was split evenly,

Ken and Paul each paid = [tex]\frac{2x+1}{2}=\frac{2x}{2}+\frac{1}{2}= x+0.5[/tex] dollars

Also they have paid additional 20% as a tip.

After adding the  20

%

tip, each of them paid = [tex](x+0.5)+\frac{20}{100}(x+0.5)=(x+0.5)+0.2(x+0.5)= 1.2(x+0.5)= 1.2x+0.6 \ dollars[/tex]

Hence the expression that represent the amount each of them paid is [tex]1.2x+0.6 \ dollars[/tex]