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?

Respuesta :

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)