Problem

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

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Answer

7. Amount each paid=1.2(2x+1)2

Steps

Step 1 ：1. Price of Ken's sandwich=x

Step 2 ：2. Price of Paul's sandwich=x+1

Step 3 ：3. Total cost=x+(x+1)

Step 4 ：4. Total cost=2x+1

Step 5 ：5. Total cost with tip=(2x+1)+0.2(2x+1)

Step 6 ：6. Total cost with tip=1.2(2x+1)

Step 7 ：7. Amount each paid=1.2(2x+1)2

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