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?

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

answer: f true

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.