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?

Answer 1

Answer:

No, she couldn't have scored only two goals because that would mean Kenny scored six and 2 + 6 does not equal 12.

Step-by-step explanation:

Let x = Number of goals Carrie scored

Let 3x = Number of goals Kenny scored (three times Carrie)

Now we set up an equation showing that they both scored a sum of 12 goals.

3x + x = 12

Combine like terms

4x = 12

Divide both sides by 4 to isolate variable x

x = 12/4

x = 3

Carrie scored 3 goals. So your answer is no.