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?

1.Yes, because 4 goals is less than the total number of goals scored.
2. Yes, because 4 goals is less than the number of goals Connor scored.
3.No, because 4(2) ≠ 9.
4. No, because 4(2) + 4 ≠ 9.

Answer 1

4. No, because 4(2) + 4 ≠ 9.

Explanation:

If Sadie scored 4 goals and Connor scored two times that, he would have scored 8 and 4+8= 12. So Sadie couldn't have scored 4 goals.

Answer 2

The correct option is 4. No, because 4(2) + 4 ≠ 9.

Explanation:

Consider the provided information.

Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals.

Let Sadie scored x goals.

Thus together they scored:

`2x+x=9`

Here it is given that can Sadie have scored 4 goals.

For this substitute the value of x=4 in above expression.

`4(2)+4=9`

Which is false.

`4(2)+4\\eq 9`

Thus, Sadie can't scored 4 goals as
`4(2)+4\\eq 9`

Hence, the correct option is 4. No, because 4(2) + 4 ≠ 9.