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

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

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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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