Question

The panthers team won exactly 2 of its first 9 games. By winning all its remaining N games, the Panthers ended with victories in exactly half of the games it played. What number does N represent?

Answer 1

5

Explanation:

2 out of 9 games won

After the N games, the games won would be HALF. Thus, we can write a ratio and solve for the variable N:

`(2+N)/(9+N)=(1)/(2)`

Now we cross multiply and solve for N [the number of remaining games that all are won]:

`(2+N)/(9+N)=(1)/(2)\\2(2+N)=1(9+N)\\4+2N=9+N\\2N-N=9-4\\N=5`

N represents 5