Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not?

Question

A.   Yes, because 2 goals is less than the total number of goals scored.

B. No, because 3(2) + 2 ≠ 12.

C. Yes, because 2 goals is less than the number of goals Kenny scored.

D.  No, because 3(2) ≠ 12.

Answer 1

Hi Diamond H.

The message here is that Kenny's score is described in terms of Carrie's

If Carrie scored x goals

Then Kenny scored 3x goals

Together they scored 12 goals

So Carrie's goal can be found as follows:

x + 3x = 12

Solve this for x and see if you still come to the same conclusion.

Give it a try