2 pens and 1 eraser cost $35 and 3 pens and 4 erasers cost $65. X represents the cost of 1 pen and Y

Discussion in 'Calculator Requests' started by math_celebrity, May 1, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    2 pens and 1 eraser cost $35 and 3 pens and 4 erasers cost $65. X represents the cost of 1 pen and Y represents the cost of 1 eraser. Write the 2 simultaneous equations and solve.

    Set up our 2 equations where cost = price * quantity:
    1. 2x + y = 35
    2. 3x + 4y = 65
    We can solve this one of three ways:
    No matter which method we choose, we get the same answer:
    • x (cost of 1 pen) = 15
    • y (cost of 1 eraser) = 5
     

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