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

Answer:

5

Step-by-step 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:

$\frac{2+N}{9+N}=\frac{1}{2}$

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

$\frac{2+N}{9+N}=\frac{1}{2}\\2(2+N)=1(9+N)\\4+2N=9+N\\2N-N=9-4\\N=5$

N represents 5