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13 October, 22:00

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?

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  1. 13 October, 22:25
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    The price of each burger is $4

    The price of each order of fries is $2.5

    Step-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
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