Jim and Abby each bought burgers and fries from the concession stand at the fair. Jim bought 3 burgers and 2 orders of fries for $17. Abby bought 2 burgers and 4 orders of fries for $18. How much did it cost for each burger? How did it cost for each order of fries?

Answer:The price of each burger is $4The price of each order of fries is $2.5Step-by-step explanation:* Lets explain how to change the story problem to equations- Jim bought 3 burgers and 2 orders of fries for $17- Abby bought 2 burgers and 4 orders of fries for $18- Assume that the price of one burger is x and one order of fries is y* Lets write two equations represents Jim and Abby orders∵ Jim bought 3 burgers and 2 orders of fries for $17∴ 3x + 2y = 17 ⇒ (1)∵ Abby bought 2 burgers and 4 orders of fries for $18∴ 2x + 4y = 18 ⇒ (2)* Lets solve the two equations by the elimination method- Multiply equation(1) by -2 to eliminate y∵ -2(3x) + -2(2y) = -2(17)∴ -6x + -4y = -34 ⇒ (3)- Add equations (2) and (3)∴ -4x + 0 = -16∴ -4x = -16 - Divide both sides by -4∴ x = 4- Substitute the value of x in equations (1) or (2) to find y∵ 3x + 2y = 17∴ 3(4) + 2y = 17∴ 12 + 2y = 17- Subtract 12 from both sides∴ 2y = 5- Divide the both sides by 2∴ y = 2.5∵ x represent the price of each burger∴ The price of each burger is $4∵ y represents the price   of an order of fries∴ The price of each order of fries is $2.5