the Panthers team won exactly 2 of its 9 games. by winning all its remaining N games, the panthers ended with victories half of the games it played. what number does N represent?

Respuesta :

2+number won over 9+number played=1/2
number won=number played (number played means how many more past 9)

so
if n=number won=number played then[tex] \frac{2+n}{9+n}= \frac{1}{2} [/tex]
times both sides by (2)(9+n)
2(2+n)=9+n
distribute
4+2n=9+n
minus n from both sides
4+n=9
minus 4 from both sides
n=5

answer is 5
test
2+5=7
9+5=14
7/14=1/2
true

n=5