I NEED HELP FAST

Question

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?

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

First let's label some stuff in variable terms:

Kenny's goals = k

Carrie's goals = C

"Kenny scored 3 times as many goals as Carrie" so we have:

3C = K

"Together they scored 12 goals" so we have:

C + K = 12

Now, could Carrie have scored 2 goals? In other words, could C be equal to 2?

Before we answer that, let's try to do some substitution in the equations we have.

We know that 3C = K, so in the second equation we can swap out the K for 3C:

C + K = 12 ==> 3C + C = 12

Now, if C would be 2, would this equation make sense?

3(2) + 2 = 12

WRONG. It doesn't work.

Choice B is correct --> no, because 3(2) + 2 is not 12.