By analyzing the word problem they should be able to pick up on key words like "difference" and "together". The first equation could be written as the difference of the number of cups Jack and Luke sold, or x - y = 5. The word "together" implies addition so we could write the last equation as $ 3 for every cup Jack sold and $ 2 for every cup Luke sold and together they sold $ 15 total. This would translate into 3x + 2y = 15. We now have two variables, two unknowns and we can solve this equation using the multiplication elimination method. We have some choices to make in solving this equation. I would stress to the students that it does not matter if we multiply the equation x - y = 5 by 2 or 3. Either way we will get the same solution. I model two more examples of word problems and then answer any questions the students may have. I would also have them attempt to solve a problem on their own then pair-share with their neighbor and compare answers. Then I would go over the answer and see how they did. PLEASE SOLVE EQUATION IN DETAIL AND SHOW WORK