Question

Sadie and Connor both play soccer. Connor scored two times as many goals this Sadie. Together they scored nine goals. Good Saturday have scored four goals? Why or why not?

Answer 1

Sadi could not have scored 4 goals

Explanation:

Let's call x the number of goals Sadie scored

Let's call v the number of goals that Connor scored

We know that together they scored 9 goals. This means that:

`x + v = 9` (1)

We know that Connor scored two times as many goals this Sadie. This is:

`v = 2x` (2)

Substitute equation 2 into equation (1) and solve for x

`x + 2x = 9\\3x = 9\\x = 3`

Then

`v = 6`

Connor scored 6 goals

Sadie scored 3 goals.

Sadi could not have scored 4 goals because that would mean that Connor marćo 8 goals and we know that together they added 9 goals