Question

Colby hit four more home runs that twice the number of home runs Dominic hit. Together they hit ten home runs. How many home runs did Colby hit?

Answer 1

ANSWER:

Colby hit 8 home runs.

SOLUTION:

It is given to us that Colby hit four more home runs that twice the number of home runs Dominic hit and together they hit ten home runs.  

Let us denote the runs hit by Colby as ‘c’ and that hit by Dominic as ‘d’.

According to the given statement  

d + c = 10   --eq1

and we also know that Colby hit four more home runs that twice the number of home runs Dominic hit. So we can write it in an equation as follows:

c = 2d + 4   -- eq2

Now from the eq1and eq2 we can solve to find out how many runs Colby hit  Let's rewrite equation one as follows:

d = 10 - c   -- eq3

Now substituting eq3 in eq2 we get the following:

c = 2(10 - c) + 4

We can rewrite the equation as:

c = 20 - 2c + 4

3c = 24

c = 8

Therefore Colby hit 8 home runs.