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 goa

Question

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?

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3 years 2021-08-26T10:32:58+00:00 1 Answers 21 views 0

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    2021-08-26T10:34:52+00:00

    Answer:

    no

    the goal total would be too high

    Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.


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    If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is …


     s + 2s = 9


     3s = 9 . . . . . . collect terms


     s = 9/3 = 3 . . . divide by the coefficient of s


    Sadie scored 3 goals. (s=4 is not the solution to the problem)

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