Question

The Knicks and Nets have a total 30 players.

They scored a total of 500 points after a few
games. If the Knicks players always score 20
points per game and the Nets players always
score 10 points per game, how many Knicks
players are there?
E. 10
F. 15
G. 20
H. 25​

Answer 1

Explanation:

From the problem statement, we can set up the following two equations:

`K + N = 30`

`20K + 10N = 500`

where
`K` is the number of Knicks players, and
`N` is the number of Nets players.

We can substitute the first equation into the second and solve for
`K`

`K + N = 30`

`N = 30 - K`

`20K + 10N = 500`

`20K + 10(30 - K) = 500`

`20K + 300 - 10K = 500`

`10K + 300 = 500`

`10K = 200`

`K = 20`