Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they score

Discussion in 'Calculator Requests' started by math_celebrity, Nov 12, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?

    Assumptions:
    • Let Connor's goals be c
    • Let Sadie's goals be s
    We're given the following simultaneous equations:
    1. c = 2s
    2. c + s = 9
    We substitute equation (1) into equation (2) for c:
    2s + s = 9

    To solve the equation for s, we type it in our search equation and we get:
    s = 3

    So no, Sadie could not have scored 4 goals since s = 3
     

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